diff --git a/geojson/multipolygon.go b/geojson/multipolygon.go
index 17343974..af2dc96a 100644
--- a/geojson/multipolygon.go
+++ b/geojson/multipolygon.go
@@ -29,6 +29,7 @@ func fillMultiPolygon(coordinates [][][]Position, bbox *BBox, err error) (MultiP
 		Coordinates: coordinates,
 		BBox:        bbox,
 		bboxDefined: bboxDefined,
+		polygons:    polygons,
 	}, err
 }
 
diff --git a/geojson/polygon.go b/geojson/polygon.go
index 4e6db8bf..375b06c3 100644
--- a/geojson/polygon.go
+++ b/geojson/polygon.go
@@ -103,6 +103,11 @@ func (g Polygon) WithinBBox(bbox BBox) bool {
 	if len(g.Coordinates) == 0 {
 		return false
 	}
+	if g.BBox != nil {
+		if !rectBBox(*g.BBox).IntersectsRect(rectBBox(bbox)) {
+			return false
+		}
+	}
 	rbbox := rectBBox(bbox)
 	ext, holes := polyExteriorHoles(g.Coordinates)
 	if len(holes) > 0 {
@@ -122,6 +127,11 @@ func (g Polygon) IntersectsBBox(bbox BBox) bool {
 	if len(g.Coordinates) == 0 {
 		return false
 	}
+	if g.BBox != nil {
+		if !rectBBox(*g.BBox).IntersectsRect(rectBBox(bbox)) {
+			return false
+		}
+	}
 	rbbox := rectBBox(bbox)
 	ext, holes := polyExteriorHoles(g.Coordinates)
 	if len(holes) > 0 {