diff --git a/src/algorithm/hull/ConcaveHullOfPolygons.cpp b/src/algorithm/hull/ConcaveHullOfPolygons.cpp
index a774cf6f0f..db8c354363 100644
--- a/src/algorithm/hull/ConcaveHullOfPolygons.cpp
+++ b/src/algorithm/hull/ConcaveHullOfPolygons.cpp
@@ -153,7 +153,7 @@ ConcaveHullOfPolygons::setTight(bool p_isTight)
 std::unique_ptr<Geometry>
 ConcaveHullOfPolygons::getHull()
 {
-    if (inputPolygons->isEmpty()) {
+    if (inputPolygons->isEmpty() || inputPolygons->getEnvelopeInternal()->getArea() == 0) {
         return createEmptyHull();
     }
     buildHullTris();
diff --git a/tests/unit/capi/GEOSConcaveHullOfPolygonsTest.cpp b/tests/unit/capi/GEOSConcaveHullOfPolygonsTest.cpp
index 8de6baf542..22f6c2cfc6 100644
--- a/tests/unit/capi/GEOSConcaveHullOfPolygonsTest.cpp
+++ b/tests/unit/capi/GEOSConcaveHullOfPolygonsTest.cpp
@@ -52,6 +52,14 @@ void object::test<2>()
     ensure_geometry_equals(geom1_, expected_);
 }
 
+template<>
+template<>
+void object::test<3>()
+{
+    input_ = fromWKT("POLYGON((0 0, 0 0, 0 0))");
+    result_ = GEOSConcaveHullOfPolygons(input_, 0.7, false, false);
+}
+
 
 } // namespace tut