diff --git a/core/math/a_star.cpp b/core/math/a_star.cpp
index de423c5de457..3e3a8cacab01 100644
--- a/core/math/a_star.cpp
+++ b/core/math/a_star.cpp
@@ -48,7 +48,7 @@ int AStar::get_available_point_id() const {
 
 void AStar::add_point(int p_id, const Vector3 &p_pos, real_t p_weight_scale) {
 	ERR_FAIL_COND_MSG(p_id < 0, vformat("Can't add a point with negative id: %d.", p_id));
-	ERR_FAIL_COND_MSG(p_weight_scale < 1, vformat("Can't add a point with weight scale less than one: %f.", p_weight_scale));
+	ERR_FAIL_COND_MSG(p_weight_scale < 0, vformat("Can't add a point with weight scale less than 0.0: %f.", p_weight_scale));
 
 	Point *found_pt;
 	bool p_exists = points.lookup(p_id, found_pt);
@@ -97,7 +97,7 @@ void AStar::set_point_weight_scale(int p_id, real_t p_weight_scale) {
 	Point *p;
 	bool p_exists = points.lookup(p_id, p);
 	ERR_FAIL_COND_MSG(!p_exists, vformat("Can't set point's weight scale. Point with id: %d doesn't exist.", p_id));
-	ERR_FAIL_COND_MSG(p_weight_scale < 1, vformat("Can't set point's weight scale less than one: %f.", p_weight_scale));
+	ERR_FAIL_COND_MSG(p_weight_scale < 0, vformat("Can't set point's weight scale less than 0.0: %f.", p_weight_scale));
 
 	p->weight_scale = p_weight_scale;
 }
diff --git a/doc/classes/AStar.xml b/doc/classes/AStar.xml
index fb6bb3192bb0..fefa08c68dd3 100644
--- a/doc/classes/AStar.xml
+++ b/doc/classes/AStar.xml
@@ -47,7 +47,7 @@
 			<argument index="1" name="position" type="Vector3" />
 			<argument index="2" name="weight_scale" type="float" default="1.0" />
 			<description>
-				Adds a new point at the given position with the given identifier. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				Adds a new point at the given position with the given identifier. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 0.0 or greater.
 				The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point. Thus, all else being equal, the algorithm prefers points with lower [code]weight_scale[/code]s to form a path.
 				[codeblock]
 				var astar = AStar.new()
diff --git a/doc/classes/AStar2D.xml b/doc/classes/AStar2D.xml
index 6c2d0dd63535..a54a13d23add 100644
--- a/doc/classes/AStar2D.xml
+++ b/doc/classes/AStar2D.xml
@@ -33,7 +33,7 @@
 			<argument index="1" name="position" type="Vector2" />
 			<argument index="2" name="weight_scale" type="float" default="1.0" />
 			<description>
-				Adds a new point at the given position with the given identifier. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				Adds a new point at the given position with the given identifier. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 0.0 or greater.
 				The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point. Thus, all else being equal, the algorithm prefers points with lower [code]weight_scale[/code]s to form a path.
 				[codeblock]
 				var astar = AStar2D.new()