diff --git a/NEWS.md b/NEWS.md
index f9b07564b0..466f06001f 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -7,6 +7,7 @@
   - GEOSRelatePatternMatch: Fix crash on invalid DE-9IM pattern (GH-1089, Dan Baston)
   - Port TopologyPreservingSimplifier fixes (GH-986, GH-1107, GH-857, GH-784, GH-1070, Paul Ramsey)
   - Fix ConcaveHullOfPolygons nested shell handling (GH-1169, Martin Davis)
+  - GEOSConcaveHullOfPolygons, Avoid crash on zero-area input (GH-1071, Dan Baston)
 
 ## Changes in 3.11.4
 2024-06-05
diff --git a/src/algorithm/hull/ConcaveHullOfPolygons.cpp b/src/algorithm/hull/ConcaveHullOfPolygons.cpp
index 623a7662ab..d49b5eff1e 100644
--- a/src/algorithm/hull/ConcaveHullOfPolygons.cpp
+++ b/src/algorithm/hull/ConcaveHullOfPolygons.cpp
@@ -154,7 +154,7 @@ ConcaveHullOfPolygons::setTight(bool p_isTight)
 std::unique_ptr<Geometry>
 ConcaveHullOfPolygons::getHull()
 {
-    if (inputPolygons->isEmpty()) {
+    if (inputPolygons->isEmpty() || inputPolygons->getArea() == 0) {
         return createEmptyHull();
     }
     buildHullTris();
diff --git a/tests/unit/capi/GEOSConcaveHullOfPolygonsTest.cpp b/tests/unit/capi/GEOSConcaveHullOfPolygonsTest.cpp
index a5a485e9de..16a80299a0 100644
--- a/tests/unit/capi/GEOSConcaveHullOfPolygonsTest.cpp
+++ b/tests/unit/capi/GEOSConcaveHullOfPolygonsTest.cpp
@@ -54,6 +54,15 @@ void object::test<2>()
     ensure_geometry_equals(geom1_, expected_);
 }
 
+template<>
+template<>
+void object::test<4>()
+{
+    input_ = fromWKT("POLYGON((0 0, 0 0, 0 0))");
+    result_ = GEOSConcaveHullOfPolygons(input_, 0.7, false, false);
+    ensure(GEOSisEmpty(result_));
+}
+
 
 } // namespace tut