diff --git a/src/Scope.cc b/src/Scope.cc
index 91b806c921..4bebbcdbbf 100644
--- a/src/Scope.cc
+++ b/src/Scope.cc
@@ -93,11 +93,9 @@ const IDPtr& lookup_ID(const char* name, const char* curr_module, bool no_global
                        bool check_export) {
     bool explicit_global = zeek::util::starts_with(name, "::");
 
-    // Ad-hoc deprecation if a name starts with "GLOBAL::". In v7.1 we could
-    // tweak {ID} to reject GLOBAL::, or switch this warning to error instead.
-    static std::string deprecated_prefix = util::fmt("%s::", GLOBAL_MODULE_NAME);
-    if ( zeek::util::starts_with(name, deprecated_prefix) )
-        reporter->Deprecation(util::fmt("Remove in v7.1: Use :: instead of %s (%s)", deprecated_prefix.c_str(), name));
+    static std::string global_prefix = util::fmt("%s::", GLOBAL_MODULE_NAME);
+    if ( zeek::util::starts_with(name, global_prefix) )
+        reporter->Error("Using GLOBAL:: as a prefix is invalid. Use :: instead (%s)", name);
 
     std::string fullname = make_full_var_name(curr_module, name);
     std::string ID_module = extract_module_name(fullname.c_str());
diff --git a/testing/btest/Baseline/language.deprecate-global/.stderr b/testing/btest/Baseline/language.deprecate-global/.stderr
deleted file mode 100644
index ba832c6e5f..0000000000
--- a/testing/btest/Baseline/language.deprecate-global/.stderr
+++ /dev/null
@@ -1,3 +0,0 @@
-### BTest baseline data generated by btest-diff. Do not edit. Use "btest -U/-u" to update. Requires BTest >= 0.63.
-warning in <...>/deprecate-global.zeek, line 22: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::test_function)
-warning in <...>/deprecate-global.zeek, line 26: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::X)
diff --git a/testing/btest/Baseline/language.deprecate-global/out b/testing/btest/Baseline/language.deprecate-global/out
deleted file mode 100644
index 3987e838f5..0000000000
--- a/testing/btest/Baseline/language.deprecate-global/out
+++ /dev/null
@@ -1,4 +0,0 @@
-### BTest baseline data generated by btest-diff. Do not edit. Use "btest -U/-u" to update. Requires BTest >= 0.63.
-X, shadows ::X (42)
-::X, 42
-GLOBAL::X, 42
diff --git a/testing/btest/Baseline/language.global-colon-colon/.stderr b/testing/btest/Baseline/language.global-colon-colon/.stderr
index a24c303643..49d861c74c 100644
--- a/testing/btest/Baseline/language.global-colon-colon/.stderr
+++ b/testing/btest/Baseline/language.global-colon-colon/.stderr
@@ -1,9 +1 @@
 ### BTest baseline data generated by btest-diff. Do not edit. Use "btest -U/-u" to update. Requires BTest >= 0.63.
-warning in <...>/global-colon-colon.zeek, line 67: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::X)
-warning in <...>/global-colon-colon.zeek, line 75: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::my_hook)
-warning in <...>/global-colon-colon.zeek, line 82: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::func)
-warning in <...>/global-colon-colon.zeek, line 89: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::funcX)
-warning in <...>/global-colon-colon.zeek, line 110: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::X)
-warning in <...>/global-colon-colon.zeek, line 118: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::my_hook)
-warning in <...>/global-colon-colon.zeek, line 125: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::func)
-warning in <...>/global-colon-colon.zeek, line 132: Remove in v7.1: Use :: instead of GLOBAL:: (GLOBAL::funcX)
diff --git a/testing/btest/Baseline/language.global-colon-colon/out b/testing/btest/Baseline/language.global-colon-colon/out
index 59ffb07de4..bc61803592 100644
--- a/testing/btest/Baseline/language.global-colon-colon/out
+++ b/testing/btest/Baseline/language.global-colon-colon/out
@@ -3,8 +3,6 @@
   MyModule X
 (MyModule) print MyModule::X
   MyModule X
-(MyModule) print GLOBAL::X
-  global X
 (MyModule) print ::X
   global X
 (MyModule) hook my_hook()
@@ -13,32 +11,22 @@
 (MyModule) hook MyModule::my_hook()
   MyModule::my_hook() (in GLOBAL)
   MyModule::my_hook()
-(MyModule) hook GLOBAL::my_hook()
-  my_hook() (in GLOBAL)
-  ::my_hook() (in GLOBAL)
-  ::my_hook() (in MyModule using ::)
 (MyModule) hook ::my_hook()
   my_hook() (in GLOBAL)
   ::my_hook() (in GLOBAL)
   ::my_hook() (in MyModule using ::)
 (MyModule) call func()
   MyModule::func()
-(MyModule) call GLOBAL::func()
-  GLOBAL::func()
 (MyModule) call ::func()
   GLOBAL::func()
 (MyModule) call funcX()
   ::funcX() (in MyModule)
-(MyModule) call GLOBAL::funcX()
-  ::funcX() (in MyModule)
 (MyModule) call ::funcX()
   ::funcX() (in MyModule)
 (G) print X
   global X
 (G) print MyModule::X
   MyModule X
-(G) print GLOBAL::X
-  global X
 (G) print ::X
   global X
 (G) hook my_hook()
@@ -48,24 +36,16 @@
 (G) MyModule::my_hook()
   MyModule::my_hook() (in GLOBAL)
   MyModule::my_hook()
-(G) hook GLOBAL::my_hook()
-  my_hook() (in GLOBAL)
-  ::my_hook() (in GLOBAL)
-  ::my_hook() (in MyModule using ::)
 (G) hook ::my_hook()
   my_hook() (in GLOBAL)
   ::my_hook() (in GLOBAL)
   ::my_hook() (in MyModule using ::)
 (G) call func()
   GLOBAL::func()
-(G) call GLOBAL::func()
-  GLOBAL::func()
 (G) call ::func()
   GLOBAL::func()
 (G) call funcX()
   ::funcX() (in MyModule)
-(G) call GLOBAL::funcX()
-  ::funcX() (in MyModule)
 (G) call ::funcX()
   ::funcX() (in MyModule)
   MyModule::my_event() (in MyModule)
diff --git a/testing/btest/language/deprecate-global.zeek b/testing/btest/language/deprecate-global.zeek
deleted file mode 100644
index 236cc3bf19..0000000000
--- a/testing/btest/language/deprecate-global.zeek
+++ /dev/null
@@ -1,27 +0,0 @@
-# @TEST-DOC: Adapt in v7.1 to check for errors upon GLOBAL accesses.
-
-# @TEST-EXEC: zeek -b %INPUT >out
-# @TEST-EXEC: TEST_DIFF_CANONIFIER=$SCRIPTS/diff-remove-abspath btest-diff out
-# @TEST-EXEC: TEST_DIFF_CANONIFIER=$SCRIPTS/diff-remove-abspath btest-diff .stderr
-
-module GLOBAL;
-
-function test_function() { }
-
-global X = 42;
-
-
-module MyModule;
-
-global X = fmt("shadows ::X (%s)", ::X);
-
-event zeek_init()
-	{
-	test_function();
-	::test_function();
-	GLOBAL::test_function();
-
-	print "X", X;
-	print "::X", ::X;
-	print "GLOBAL::X", GLOBAL::X;
-	}
diff --git a/testing/btest/language/global-colon-colon.zeek b/testing/btest/language/global-colon-colon.zeek
index f1abef9066..79e3d25bb9 100644
--- a/testing/btest/language/global-colon-colon.zeek
+++ b/testing/btest/language/global-colon-colon.zeek
@@ -30,7 +30,7 @@ hook my_hook() &priority=9
 	print "  MyModule::my_hook()";
 	}
 
-# This implements GLOBAL::my_hook()
+# This implements a global my_hook()
 hook ::my_hook() &priority=8
 	{
 	print "  ::my_hook() (in MyModule using ::)";
@@ -63,37 +63,29 @@ event zeek_init() &priority=5
 	print fmt("  %s", X);
 	print "(MyModule) print MyModule::X";
 	print fmt("  %s", MyModule::X);
-	print "(MyModule) print GLOBAL::X";
-	print fmt("  %s", GLOBAL::X);
 	print "(MyModule) print ::X";
 	print fmt("  %s", ::X);
 	print "(MyModule) hook my_hook()";
 	hook my_hook();  # This uses MyModule::my_hook();
 	print "(MyModule) hook MyModule::my_hook()";
 	hook MyModule::my_hook();  # This uses MyModule::hook();
-	print "(MyModule) hook GLOBAL::my_hook()";
-	hook GLOBAL::my_hook();
 	print "(MyModule) hook ::my_hook()";
 	hook ::my_hook();
 
 	print "(MyModule) call func()";
 	func();
-	print "(MyModule) call GLOBAL::func()";
-	GLOBAL::func();
 	print "(MyModule) call ::func()";
 	::func();
 
 	print "(MyModule) call funcX()";
 	funcX();
-	print "(MyModule) call GLOBAL::funcX()";
-	GLOBAL::funcX();
 	print "(MyModule) call ::funcX()";
 	::funcX();
 
 	# This schedules MyEvent::my_event()
 	event my_event();
 
-	# This schedules the GLOBAL::my_event();
+	# This schedules the global ::my_event()
 	event ::my_event();
 	}
 
@@ -106,30 +98,22 @@ event zeek_init() &priority=5
 	print fmt("  %s", X);
 	print "(G) print MyModule::X";
 	print fmt("  %s", MyModule::X);
-	print "(G) print GLOBAL::X";
-	print fmt("  %s", GLOBAL::X);
 	print "(G) print ::X";
 	print fmt("  %s", ::X);
 	print "(G) hook my_hook()";
-	hook my_hook();  # This uses GLOBAL::my_hook();
+	hook my_hook();  # This uses global my_hook();
 	print "(G) MyModule::my_hook()";
 	hook MyModule::my_hook();  # This uses MyModule::hook();
-	print "(G) hook GLOBAL::my_hook()";
-	hook GLOBAL::my_hook();
 	print "(G) hook ::my_hook()";
 	hook ::my_hook();
 
 	print "(G) call func()";
 	func();
-	print "(G) call GLOBAL::func()";
-	GLOBAL::func();
 	print "(G) call ::func()";
 	::func();
 
 	print "(G) call funcX()";
 	funcX();
-	print "(G) call GLOBAL::funcX()";
-	GLOBAL::funcX();
 	print "(G) call ::funcX()";
 	::funcX();
 	}
diff --git a/testing/btest/language/global-type-clash.zeek b/testing/btest/language/global-type-clash.zeek
index 9eac7fb53a..e361046b07 100644
--- a/testing/btest/language/global-type-clash.zeek
+++ b/testing/btest/language/global-type-clash.zeek
@@ -9,7 +9,7 @@ type r: record { b: count; };
 
 event zeek_init()
 	{
-	local x: GLOBAL::r;
+	local x: ::r;
 	x$a = 5;
 
 	local y: test::r;