diff --git a/components/tree-select/nz-tree-select.component.ts b/components/tree-select/nz-tree-select.component.ts
index b739b0dae70..f477786b662 100644
--- a/components/tree-select/nz-tree-select.component.ts
+++ b/components/tree-select/nz-tree-select.component.ts
@@ -396,13 +396,15 @@ export class NzTreeSelectComponent extends NzTreeBase implements ControlValueAcc
     if (init) {
       const nodes = this.coerceTreeNodes(this.nzNodes);
       this.nzTreeService.isMultiple = this.isMultiple;
+      this.nzTreeService.isCheckStrictly = this.nzCheckStrictly;
       this.nzTreeService.initTree(nodes);
       if (this.nzCheckable) {
-        this.nzTreeService.calcCheckedKeys(this.value, nodes);
+        this.nzTreeService.calcCheckedKeys(this.value, nodes, this.nzCheckStrictly);
       } else {
         this.nzTreeService.calcSelectedKeys(this.value, nodes, this.isMultiple);
       }
     }
+
     this.selectedNodes = [...(this.nzCheckable ? this.getCheckedNodeList() : this.getSelectedNodeList())];
   }
 
diff --git a/components/tree-select/nz-tree-select.spec.ts b/components/tree-select/nz-tree-select.spec.ts
index 333763cda2d..86adb65a6e6 100644
--- a/components/tree-select/nz-tree-select.spec.ts
+++ b/components/tree-select/nz-tree-select.spec.ts
@@ -12,7 +12,8 @@ import {
   dispatchMouseEvent,
   typeInElement,
   MockNgZone,
-  NzTreeNode, NzTreeNodeOptions
+  NzTreeNode,
+  NzTreeNodeOptions
 } from 'ng-zorro-antd/core';
 
 import { NzTreeSelectComponent } from './nz-tree-select.component';
@@ -345,6 +346,27 @@ describe('tree-select component', () => {
       expect(testComponent.nzSelectTreeComponent.value.length).toBe(0);
     }));
 
+    it('should not check strictly work', fakeAsync(() => {
+      fixture.detectChanges();
+      testComponent.value = ['1001', '10001', '100012'];
+      fixture.detectChanges();
+      tick();
+      fixture.detectChanges();
+      expect(testComponent.nzSelectTreeComponent.selectedNodes.length).toBe(1);
+    }));
+
+    it('should check strictly work', fakeAsync(() => {
+      fixture.detectChanges();
+      testComponent.checkStrictly = true;
+      testComponent.value = ['1001', '10001', '100012'];
+      fixture.detectChanges();
+      tick();
+      fixture.detectChanges();
+      expect(testComponent.nzSelectTreeComponent.selectedNodes.length).toBe(3);
+      testComponent.checkStrictly = false;
+      fixture.detectChanges();
+    }));
+
     it('should remove checked when press backs', fakeAsync(() => {
       treeSelect.nativeElement.click();
       fixture.detectChanges();
@@ -620,6 +642,7 @@ export class NzTestTreeSelectBasicComponent {
       [nzNodes]="nodes"
       [nzShowSearch]="showSearch"
       [nzCheckable]="true"
+      [nzCheckStrictly]="checkStrictly"
       [(ngModel)]="value"
     >
     </nz-tree-select>
@@ -630,6 +653,7 @@ export class NzTestTreeSelectCheckableComponent {
   expandKeys = ['1001', '10001'];
   value: string[] | null = ['1000122'];
   showSearch = false;
+  checkStrictly = false;
   nodes = [
     {
       title: 'root1',
diff --git a/components/tree/nz-tree.component.ts b/components/tree/nz-tree.component.ts
index 91277e9cca7..28914ae6eed 100644
--- a/components/tree/nz-tree.component.ts
+++ b/components/tree/nz-tree.component.ts
@@ -30,7 +30,6 @@ import { takeUntil } from 'rxjs/operators';
 
 import {
   isNotNil,
-  toBoolean,
   warnDeprecation,
   InputBoolean,
   NzConfigService,
@@ -114,16 +113,7 @@ export class NzTreeComponent extends NzTreeBase implements OnInit, OnDestroy, Co
 
   @Input() nzBeforeDrop: (confirm: NzFormatBeforeDropEvent) => Observable<boolean>;
 
-  @Input()
-  @InputBoolean()
-  set nzMultiple(value: boolean) {
-    this._nzMultiple = toBoolean(value);
-    this.nzTreeService.isMultiple = toBoolean(value);
-  }
-
-  get nzMultiple(): boolean {
-    return this._nzMultiple;
-  }
+  @Input() @InputBoolean() nzMultiple = false;
 
   @Input()
   // tslint:disable-next-line:no-any
@@ -223,7 +213,6 @@ export class NzTreeComponent extends NzTreeBase implements OnInit, OnDestroy, Co
   @Output() readonly nzOnDragEnd = new EventEmitter<NzFormatEmitEvent>();
 
   _searchValue: string;
-  _nzMultiple: boolean = false;
   nzDefaultSubject = new ReplaySubject<{ type: string; keys: string[] }>(6);
   destroy$ = new Subject();
   prefixCls = 'ant-tree';
@@ -340,10 +329,10 @@ export class NzTreeComponent extends NzTreeBase implements OnInit, OnDestroy, Co
 
   ngOnChanges(changes: { [propertyName: string]: SimpleChange }): void {
     if (changes.nzCheckStrictly) {
-      this.nzTreeService.isCheckStrictly = toBoolean(changes.nzCheckStrictly.currentValue);
+      this.nzTreeService.isCheckStrictly = this.nzCheckStrictly;
     }
     if (changes.nzMultiple) {
-      this.nzTreeService.isMultiple = toBoolean(changes.nzMultiple.currentValue);
+      this.nzTreeService.isMultiple = this.nzMultiple;
     }
   }