Dans ce cas, l'event à binder n'est pas (submit) mais (ngSubmit) :

<div class="container">
    <div class="logo">Create a new account!</div>
    <div class="register-item">
      <form #myform="ngForm" (ngSubmit)="register(myform)" class="form form-register">

        <div class="form-field">
              <label class="user" for="register-username"><span class="hidden">Name</span></label>
              <input name="name" id="register-username" type="email" class="form-input" placeholder="Name" ngModel required>
        </div>
        <div class="form-field">
          <label class="user" for="register-email"><span class="hidden">Email</span></label>
          <input name="email" id="register-email" type="email" class="form-input" placeholder="Email" ngModel required>
        </div>

        <div class="form-field">
          <label class="lock" for="register-password"><span class="hidden">Password</span></label>
          <input name="password" id="register-password" type="password" class="form-input" placeholder="Password" ngModel required>
        </div>

        <div class="form-field">
          <input type="submit" value="Register">
        </div>
      </form>
    </div>
</div>