diff --git a/lucene/CHANGES.txt b/lucene/CHANGES.txt
index ae15247ac23c..63390dd8f9f9 100644
--- a/lucene/CHANGES.txt
+++ b/lucene/CHANGES.txt
@@ -410,6 +410,9 @@ Bug Fixes
 
 * GITHUB#13691: Fix incorrect exponent value in explain of SigmoidFunction. (Owais Kazi)
 
+* GITHUB#13703: Fix bug in LatLonPoint queries where narrow polygons close to latitude 90 don't
+  match any points due to an Integer overflow. (Ignacio Vera)
+
 Build
 ---------------------
 
diff --git a/lucene/core/src/java/org/apache/lucene/geo/GeoEncodingUtils.java b/lucene/core/src/java/org/apache/lucene/geo/GeoEncodingUtils.java
index d7ff62ba3bed..818639bee8f9 100644
--- a/lucene/core/src/java/org/apache/lucene/geo/GeoEncodingUtils.java
+++ b/lucene/core/src/java/org/apache/lucene/geo/GeoEncodingUtils.java
@@ -363,7 +363,7 @@ private DistancePredicate(
      */
     public boolean test(int lat, int lon) {
       final int lat2 = ((lat - Integer.MIN_VALUE) >>> latShift);
-      if (lat2 < latBase || lat2 >= latBase + maxLatDelta) {
+      if (lat2 < latBase || lat2 - latBase >= maxLatDelta) {
         return false;
       }
       int lon2 = ((lon - Integer.MIN_VALUE) >>> lonShift);
@@ -411,7 +411,7 @@ private Component2DPredicate(
      */
     public boolean test(int lat, int lon) {
       final int lat2 = ((lat - Integer.MIN_VALUE) >>> latShift);
-      if (lat2 < latBase || lat2 >= latBase + maxLatDelta) {
+      if (lat2 < latBase || lat2 - latBase >= maxLatDelta) {
         return false;
       }
       int lon2 = ((lon - Integer.MIN_VALUE) >>> lonShift);
diff --git a/lucene/test-framework/src/java/org/apache/lucene/tests/geo/BaseGeoPointTestCase.java b/lucene/test-framework/src/java/org/apache/lucene/tests/geo/BaseGeoPointTestCase.java
index d371292324d5..5c0c134fef3c 100644
--- a/lucene/test-framework/src/java/org/apache/lucene/tests/geo/BaseGeoPointTestCase.java
+++ b/lucene/test-framework/src/java/org/apache/lucene/tests/geo/BaseGeoPointTestCase.java
@@ -39,6 +39,7 @@
 import org.apache.lucene.document.StringField;
 import org.apache.lucene.geo.Circle;
 import org.apache.lucene.geo.Component2D;
+import org.apache.lucene.geo.GeoEncodingUtils;
 import org.apache.lucene.geo.GeoUtils;
 import org.apache.lucene.geo.LatLonGeometry;
 import org.apache.lucene.geo.Polygon;
@@ -1751,4 +1752,41 @@ public void testSmallSetDistanceDateline() throws Exception {
             newDistanceQuery("point", 32.94823588839368, -179.9538113027811, 120000), 20);
     assertEquals(3, td.totalHits.value);
   }
+
+  public void testNarrowPolygonCloseToNorthPole() throws Exception {
+    IndexWriterConfig iwc = newIndexWriterConfig();
+    iwc.setMergeScheduler(new SerialMergeScheduler());
+    Directory dir = newDirectory();
+    IndexWriter w = new IndexWriter(dir, iwc);
+
+    // index point closes to Lat 90
+    Document doc = new Document();
+    final int base = Integer.MAX_VALUE;
+    addPointToDoc(
+        FIELD_NAME,
+        doc,
+        GeoEncodingUtils.decodeLatitude(base - 2),
+        GeoEncodingUtils.decodeLongitude(base - 2));
+    w.addDocument(doc);
+    w.flush();
+
+    // query testing
+    final IndexReader reader = DirectoryReader.open(w);
+    final IndexSearcher s = newSearcher(reader);
+
+    double minLat = GeoEncodingUtils.decodeLatitude(base - 3);
+    double maxLat = GeoEncodingUtils.decodeLatitude(base);
+    double minLon = GeoEncodingUtils.decodeLongitude(base - 3);
+    double maxLon = GeoEncodingUtils.decodeLongitude(base);
+
+    Query query =
+        newPolygonQuery(
+            FIELD_NAME,
+            new Polygon(
+                new double[] {minLat, minLat, maxLat, maxLat, minLat},
+                new double[] {minLon, maxLon, maxLon, minLon, minLon}));
+
+    assertEquals(1, s.count(query));
+    IOUtils.close(w, reader, dir);
+  }
 }