diff --git a/ivtest/ivltests/sv_class_const_static_assign_fail.v b/ivtest/ivltests/sv_class_const_static_assign_fail.v
new file mode 100644
index 000000000..3601af842
--- /dev/null
+++ b/ivtest/ivltests/sv_class_const_static_assign_fail.v
@@ -0,0 +1,15 @@
+// Check that a const static property cannot be assigned through an object.
+
+module test;
+
+  class C;
+    const static int value = 42;
+  endclass
+
+  C object;
+
+  initial begin
+    object.value = 1;
+  end
+
+endmodule
diff --git a/ivtest/ivltests/sv_class_const_static_init.v b/ivtest/ivltests/sv_class_const_static_init.v
new file mode 100644
index 000000000..cc3102dc5
--- /dev/null
+++ b/ivtest/ivltests/sv_class_const_static_init.v
@@ -0,0 +1,20 @@
+// Check initialization of a const static class property.
+
+module test;
+
+  class C;
+    const static int value = 42;
+  endclass
+
+  C object;
+
+  initial begin
+    // A static property can be accessed without constructing the object.
+    if (object.value !== 42) begin
+      $display("FAILED: expected 42, got %0d", object.value);
+    end else begin
+      $display("PASSED");
+    end
+  end
+
+endmodule
diff --git a/ivtest/ivltests/sv_class_const_static_local_fail.v b/ivtest/ivltests/sv_class_const_static_local_fail.v
new file mode 100644
index 000000000..614811693
--- /dev/null
+++ b/ivtest/ivltests/sv_class_const_static_local_fail.v
@@ -0,0 +1,13 @@
+// Check that a const static property cannot be assigned by local lookup.
+
+module test;
+
+  class C;
+    const static int value = 42;
+
+    static function void write_value;
+      value = 1;
+    endfunction
+  endclass
+
+endmodule
diff --git a/ivtest/regress-vvp.list b/ivtest/regress-vvp.list
index a992aea2f..daed884c7 100644
--- a/ivtest/regress-vvp.list
+++ b/ivtest/regress-vvp.list
@@ -287,6 +287,9 @@ sv_chained_constructor4		vvp_tests/sv_chained_constructor4.json
 sv_chained_constructor5		vvp_tests/sv_chained_constructor5.json
 sv_class_const_derived		vvp_tests/sv_class_const_derived.json
 sv_class_const_nested_block	vvp_tests/sv_class_const_nested_block.json
+sv_class_const_static_assign_fail vvp_tests/sv_class_const_static_assign_fail.json
+sv_class_const_static_init	vvp_tests/sv_class_const_static_init.json
+sv_class_const_static_local_fail vvp_tests/sv_class_const_static_local_fail.json
 sv_class_nested_method_call	vvp_tests/sv_class_nested_method_call.json
 sv_class_prop_assign_op1	vvp_tests/sv_class_prop_assign_op1.json
 sv_class_prop_assign_op2	vvp_tests/sv_class_prop_assign_op2.json
diff --git a/ivtest/vvp_tests/sv_class_const_static_assign_fail.json b/ivtest/vvp_tests/sv_class_const_static_assign_fail.json
new file mode 100644
index 000000000..d43723aa1
--- /dev/null
+++ b/ivtest/vvp_tests/sv_class_const_static_assign_fail.json
@@ -0,0 +1,9 @@
+{
+    "type"          : "CE",
+    "source"        : "sv_class_const_static_assign_fail.v",
+    "iverilog-args" : [ "-g2005-sv" ],
+    "vlog95" : {
+        "__comment"     : "Classes are not supported",
+        "type"          : "CE"
+    }
+}
diff --git a/ivtest/vvp_tests/sv_class_const_static_init.json b/ivtest/vvp_tests/sv_class_const_static_init.json
new file mode 100644
index 000000000..44208d5bb
--- /dev/null
+++ b/ivtest/vvp_tests/sv_class_const_static_init.json
@@ -0,0 +1,9 @@
+{
+    "type"          : "normal",
+    "source"        : "sv_class_const_static_init.v",
+    "iverilog-args" : [ "-g2005-sv" ],
+    "vlog95" : {
+        "__comment"     : "Classes are not supported",
+        "type"          : "CE"
+    }
+}
diff --git a/ivtest/vvp_tests/sv_class_const_static_local_fail.json b/ivtest/vvp_tests/sv_class_const_static_local_fail.json
new file mode 100644
index 000000000..b3b397781
--- /dev/null
+++ b/ivtest/vvp_tests/sv_class_const_static_local_fail.json
@@ -0,0 +1,9 @@
+{
+    "type"          : "CE",
+    "source"        : "sv_class_const_static_local_fail.v",
+    "iverilog-args" : [ "-g2005-sv" ],
+    "vlog95" : {
+        "__comment"     : "Classes are not supported",
+        "type"          : "CE"
+    }
+}