diff --git a/Changes b/Changes
index 309dce172..dde4f618f 100644
--- a/Changes
+++ b/Changes
@@ -15,6 +15,8 @@ The contributors that suggested a given feature are shown in []. Thanks!
 
 ****  Fix naming of "id : begin" blocks.
 
+****  Fix class constructor error on assignments to const.
+
 
 * Verilator 4.040 2020-08-15
 
diff --git a/src/V3Width.cpp b/src/V3Width.cpp
index 3a47a1d56..34cb1d0da 100644
--- a/src/V3Width.cpp
+++ b/src/V3Width.cpp
@@ -1793,6 +1793,7 @@ private:
         if (nodep->lvalue() && nodep->varp()->direction() == VDirection::CONSTREF) {
             nodep->v3error("Assigning to const ref variable: " << nodep->prettyNameQ());
         } else if (nodep->lvalue() && nodep->varp()->isConst() && !m_paramsOnly
+                   && (!m_ftaskp || !m_ftaskp->isConstructor())
                    && !VN_IS(m_procedurep, Initial)) {
             // Too loose, but need to allow our generated first assignment
             // Move this to a property of the AstInitial block
diff --git a/test_regress/t/t_class_new.v b/test_regress/t/t_class_new.v
index e370e2e49..88b6fc787 100644
--- a/test_regress/t/t_class_new.v
+++ b/test_regress/t/t_class_new.v
@@ -5,7 +5,7 @@
 // SPDX-License-Identifier: CC0-1.0
 
 class ClsNoArg;
-   int imembera;
+   const int imembera;  // Ok for new() to assign to a const
    function new();
       imembera = 5;
    endfunction