diff --git a/src/Attr.cc b/src/Attr.cc
index 46d90ee2b9..d927af639c 100644
--- a/src/Attr.cc
+++ b/src/Attr.cc
@@ -40,6 +40,7 @@ const char* attr_name(AttrTag t)
 		"&deprecated",
 		"&is_assigned",
 		"&is_used",
+		"&ordered",
 	};
 
 	return attr_names[int(t)];
@@ -624,6 +625,11 @@ void Attributes::CheckAttr(Attr* a)
 			break;
 			}
 
+		case ATTR_ORDERED:
+			if ( type->Tag() != TYPE_TABLE )
+				Error("&ordered only applicable to tables");
+			break;
+
 		default:
 			BadTag("Attributes::CheckAttr", attr_name(a->Tag()));
 		}
diff --git a/src/Attr.h b/src/Attr.h
index 780c39ac47..68dde8a148 100644
--- a/src/Attr.h
+++ b/src/Attr.h
@@ -51,6 +51,7 @@ enum AttrTag
 	ATTR_DEPRECATED,
 	ATTR_IS_ASSIGNED, // to suppress usage warnings
 	ATTR_IS_USED, // to suppress usage warnings
+	ATTR_ORDERED, // used to store tables in ordered mode
 	NUM_ATTRS // this item should always be last
 	};
 
diff --git a/src/Val.cc b/src/Val.cc
index 610df6204c..67b4c94744 100644
--- a/src/Val.cc
+++ b/src/Val.cc
@@ -1389,7 +1389,8 @@ static void find_nested_record_types(const TypePtr& t, std::set<RecordType*>* fo
 
 TableVal::TableVal(TableTypePtr t, detail::AttributesPtr a) : Val(t)
 	{
-	Init(std::move(t));
+	bool ordered = (a != nullptr && a->Find(detail::ATTR_ORDERED) != nullptr);
+	Init(std::move(t), ordered);
 	SetAttrs(std::move(a));
 
 	if ( ! run_state::is_parsing )
@@ -1408,7 +1409,7 @@ TableVal::TableVal(TableTypePtr t, detail::AttributesPtr a) : Val(t)
 		}
 	}
 
-void TableVal::Init(TableTypePtr t)
+void TableVal::Init(TableTypePtr t, bool ordered)
 	{
 	table_type = std::move(t);
 	expire_func = nullptr;
@@ -1423,7 +1424,11 @@ void TableVal::Init(TableTypePtr t)
 		subnets = nullptr;
 
 	table_hash = new detail::CompositeHash(table_type->GetIndices());
-	table_val = new PDict<TableEntryVal>;
+	if ( ordered )
+		table_val = new PDict<TableEntryVal>(DictOrder::ORDERED);
+	else
+		table_val = new PDict<TableEntryVal>(DictOrder::UNORDERED);
+
 	table_val->SetDeleteFunc(table_entry_val_delete_func);
 	}
 
diff --git a/src/Val.h b/src/Val.h
index 19798422c7..ab1eb46036 100644
--- a/src/Val.h
+++ b/src/Val.h
@@ -998,7 +998,7 @@ public:
 	void EnableChangeNotifications() { in_change_func = false; }
 
 protected:
-	void Init(TableTypePtr t);
+	void Init(TableTypePtr t, bool ordered = false);
 
 	using TableRecordDependencies = std::unordered_map<RecordType*, std::vector<TableValPtr>>;
 
diff --git a/src/parse.y b/src/parse.y
index 5735c7beaf..b194ced9c0 100644
--- a/src/parse.y
+++ b/src/parse.y
@@ -5,7 +5,7 @@
 // Switching parser table type fixes ambiguity problems.
 %define lr.type ielr
 
-%expect 199
+%expect 205
 
 %token TOK_ADD TOK_ADD_TO TOK_ADDR TOK_ANY
 %token TOK_ATENDIF TOK_ATELSE TOK_ATIF TOK_ATIFDEF TOK_ATIFNDEF
@@ -29,7 +29,7 @@
 %token TOK_ATTR_BROKER_STORE_ALLOW_COMPLEX TOK_ATTR_BACKEND
 %token TOK_ATTR_PRIORITY TOK_ATTR_LOG TOK_ATTR_ERROR_HANDLER
 %token TOK_ATTR_TYPE_COLUMN TOK_ATTR_DEPRECATED
-%token TOK_ATTR_IS_ASSIGNED TOK_ATTR_IS_USED
+%token TOK_ATTR_IS_ASSIGNED TOK_ATTR_IS_USED TOK_ATTR_ORDERED
 
 %token TOK_DEBUG
 
@@ -1730,6 +1730,8 @@ attr:
 				$$ = new Attr(ATTR_DEPRECATED);
 				}
 			}
+	|	TOK_ATTR_ORDERED
+			{ $$ = new Attr(ATTR_ORDERED); }
 	;
 
 stmt:
diff --git a/src/scan.l b/src/scan.l
index c34979ddd9..0d19162615 100644
--- a/src/scan.l
+++ b/src/scan.l
@@ -330,6 +330,7 @@ when	return TOK_WHEN;
 &broker_store	return TOK_ATTR_BROKER_STORE;
 &broker_allow_complex_type	return TOK_ATTR_BROKER_STORE_ALLOW_COMPLEX;
 &backend	return TOK_ATTR_BACKEND;
+&ordered    return TOK_ATTR_ORDERED;
 
 @deprecated.* {
 	auto num_files = file_stack.length();
diff --git a/testing/btest/Baseline/language.table-iteration/.stderr b/testing/btest/Baseline/language.table-iteration/.stderr
new file mode 100644
index 0000000000..49d861c74c
--- /dev/null
+++ b/testing/btest/Baseline/language.table-iteration/.stderr
@@ -0,0 +1 @@
+### BTest baseline data generated by btest-diff. Do not edit. Use "btest -U/-u" to update. Requires BTest >= 0.63.
diff --git a/testing/btest/Baseline/language.table-iteration/out b/testing/btest/Baseline/language.table-iteration/out
new file mode 100644
index 0000000000..1845af6a24
--- /dev/null
+++ b/testing/btest/Baseline/language.table-iteration/out
@@ -0,0 +1,7 @@
+### BTest baseline data generated by btest-diff. Do not edit. Use "btest -U/-u" to update. Requires BTest >= 0.63.
+2
+1
+3
+1
+2
+3
diff --git a/testing/btest/language/table-iteration.zeek b/testing/btest/language/table-iteration.zeek
new file mode 100644
index 0000000000..f17b791210
--- /dev/null
+++ b/testing/btest/language/table-iteration.zeek
@@ -0,0 +1,27 @@
+# @TEST-EXEC: zeek -b %INPUT >out
+# @TEST-EXEC: btest-diff out
+# @TEST-EXEC: btest-diff .stderr
+
+global tbl: table[count] of count;
+global tbl2: table[count] of count &ordered;
+
+event zeek_init()
+{
+    local i = 0;
+    while ( i < 3 )
+    {
+       ++i;
+       tbl[i] = i;
+       tbl2[i] = i;
+    }
+
+    for ( [k], v in tbl )
+    {
+       print(v);
+    }
+
+    for ( [k], v in tbl2 )
+    {
+       print(v);
+    }
+}