diff --git a/pkg/scheduler/core/BUILD b/pkg/scheduler/core/BUILD
index 873c0150cf..fc0636ef99 100644
--- a/pkg/scheduler/core/BUILD
+++ b/pkg/scheduler/core/BUILD
@@ -29,6 +29,7 @@ go_test(
         "//staging/src/k8s.io/apimachinery/pkg/api/resource:go_default_library",
         "//staging/src/k8s.io/apimachinery/pkg/apis/meta/v1:go_default_library",
         "//staging/src/k8s.io/apimachinery/pkg/types:go_default_library",
+        "//staging/src/k8s.io/apimachinery/pkg/util/errors:go_default_library",
         "//staging/src/k8s.io/apimachinery/pkg/util/sets:go_default_library",
         "//staging/src/k8s.io/apimachinery/pkg/util/wait:go_default_library",
     ],
diff --git a/pkg/scheduler/core/generic_scheduler.go b/pkg/scheduler/core/generic_scheduler.go
index 92bddc921a..21e093ca6a 100644
--- a/pkg/scheduler/core/generic_scheduler.go
+++ b/pkg/scheduler/core/generic_scheduler.go
@@ -667,6 +667,7 @@ func PrioritizeNodes(
 			results[i] = make(schedulerapi.HostPriorityList, len(nodes))
 		}
 	}
+
 	processNode := func(index int) {
 		nodeInfo := nodeNameToInfo[nodes[index].Name]
 		var err error
@@ -677,7 +678,7 @@ func PrioritizeNodes(
 			results[i][index], err = priorityConfigs[i].Map(pod, meta, nodeInfo)
 			if err != nil {
 				appendError(err)
-				return
+				results[i][index].Host = nodes[index].Name
 			}
 		}
 	}
diff --git a/pkg/scheduler/core/generic_scheduler_test.go b/pkg/scheduler/core/generic_scheduler_test.go
index eed2460cfa..670f2611fc 100644
--- a/pkg/scheduler/core/generic_scheduler_test.go
+++ b/pkg/scheduler/core/generic_scheduler_test.go
@@ -31,6 +31,7 @@ import (
 	"k8s.io/apimachinery/pkg/api/resource"
 	metav1 "k8s.io/apimachinery/pkg/apis/meta/v1"
 	"k8s.io/apimachinery/pkg/types"
+	"k8s.io/apimachinery/pkg/util/errors"
 	"k8s.io/apimachinery/pkg/util/sets"
 	"k8s.io/apimachinery/pkg/util/wait"
 	"k8s.io/kubernetes/pkg/scheduler/algorithm"
@@ -44,7 +45,8 @@ import (
 )
 
 var (
-	order = []string{"false", "true", "matches", "nopods", algorithmpredicates.MatchInterPodAffinityPred}
+	errPrioritize = fmt.Errorf("priority map encounters an error")
+	order         = []string{"false", "true", "matches", "nopods", algorithmpredicates.MatchInterPodAffinityPred}
 )
 
 func falsePredicate(pod *v1.Pod, meta algorithm.PredicateMetadata, nodeInfo *schedulercache.NodeInfo) (bool, []algorithm.PredicateFailureReason, error) {
@@ -111,6 +113,26 @@ func reverseNumericPriority(pod *v1.Pod, nodeNameToInfo map[string]*schedulercac
 	return reverseResult, nil
 }
 
+func trueMapPriority(pod *v1.Pod, meta interface{}, nodeInfo *schedulercache.NodeInfo) (schedulerapi.HostPriority, error) {
+	return schedulerapi.HostPriority{
+		Host:  nodeInfo.Node().Name,
+		Score: 1,
+	}, nil
+}
+
+func falseMapPriority(pod *v1.Pod, meta interface{}, nodeInfo *schedulercache.NodeInfo) (schedulerapi.HostPriority, error) {
+	return schedulerapi.HostPriority{}, errPrioritize
+}
+
+func getNodeReducePriority(pod *v1.Pod, meta interface{}, nodeNameToInfo map[string]*schedulercache.NodeInfo, result schedulerapi.HostPriorityList) error {
+	for _, host := range result {
+		if host.Host == "" {
+			return fmt.Errorf("unexpected empty host name")
+		}
+	}
+	return nil
+}
+
 func makeNodeList(nodeNames []string) []*v1.Node {
 	result := make([]*v1.Node, 0, len(nodeNames))
 	for _, nodeName := range nodeNames {
@@ -399,6 +421,14 @@ func TestGenericScheduler(t *testing.T) {
 				},
 			},
 		},
+		{
+			predicates:   map[string]algorithm.FitPredicate{"true": truePredicate},
+			prioritizers: []algorithm.PriorityConfig{{Map: falseMapPriority, Weight: 1}, {Map: trueMapPriority, Reduce: getNodeReducePriority, Weight: 2}},
+			nodes:        []string{"2", "1"},
+			pod:          &v1.Pod{ObjectMeta: metav1.ObjectMeta{Name: "2"}},
+			name:         "test error with priority map",
+			wErr:         errors.NewAggregate([]error{errPrioritize, errPrioritize}),
+		},
 	}
 	for _, test := range tests {
 		t.Run(test.name, func(t *testing.T) {