Angular 2 Checkbox Two Way Data Binding

Unfortunately solution provided by @hakani is not two-way binding. It just handles One-way changing model from UI/FrontEnd part.

Instead the simple:

<input [(ngModel)]="checkboxFlag" type="checkbox"/>

will do two-way binding for checkbox.

Afterwards, when Model checkboxFlag is changed from Backend or UI part - voila, checkboxFlag stores actual checkbox state.

To be sure I've prepared Plunker code to present the result : https://plnkr.co/edit/OdEAPWRoqaj0T6Yp0Mfk

Just to complete this answer you should include the import { FormsModule } from '@angular/forms' into app.module.ts and add to imports array i.e

import { FormsModule } from '@angular/forms';

[...]

@NgModule({
  imports: [
    [...]
    FormsModule
  ],
  [...]
})

You can remove .selected from saveUsername in your checkbox input since saveUsername is a boolean. Instead of [(ngModel)] use [checked]="saveUsername" (change)="saveUsername = !saveUsername"

Edit: Correct Solution:

<input
  type="checkbox"
  [checked]="saveUsername"
  (change)="saveUsername = !saveUsername"/>

Update: Like @newman noticed when ngModel is used in a form it won't work. However, you should use [ngModelOptions] attribute like (tested in Angular 7):

<input
  type="checkbox"
  [(ngModel)]="saveUsername"
  [ngModelOptions]="{standalone: true}"/> `

I also created an example at Stackblitz: https://stackblitz.com/edit/angular-abelrm