虽然这里所有的答案都很棒，而且大多数工作得很好，但有一个稍微简单一点的方法可以达到同样的效果……

推动:

  NextViewController *nextViewController = [[NextViewController alloc] init];

  // Shift the view to take the status bar into account 
  CGRect frame = nextViewController.view.frame;
  frame.origin.y -= 20;
  frame.size.height += 20;
  nextViewController.view.frame = frame;

  [UIView transitionFromView:self.navigationController.topViewController.view toView:nextViewController.view duration:0.5 options:UIViewAnimationOptionTransitionFlipFromRight completion:^(BOOL finished) {
    [self.navigationController pushViewController:nextViewController animated:NO];
  }];

流行:

  int numViewControllers = self.navigationController.viewControllers.count;
  UIView *nextView = [[self.navigationController.viewControllers objectAtIndex:numViewControllers - 2] view];

  [UIView transitionFromView:self.navigationController.topViewController.view toView:nextView duration:0.5 options:UIViewAnimationOptionTransitionFlipFromLeft completion:^(BOOL finished) {
    [self.navigationController popViewControllerAnimated:NO];
  }];}

基于jordanperry为swift 4更新的答案

用于推送UIViewController

let yourVC = self.storyboard?.instantiateViewController(withIdentifier: "yourViewController") as! yourViewController
    UIView.animate(withDuration: 0.75, animations: {() -> Void in
    UIView.setAnimationCurve(.easeInOut)
    self.navigationController?.pushViewController(terms, animated: true)
    UIView.setAnimationTransition(.flipFromRight, for: (self.navigationController?.view)!, cache: false)
})

为流行

UIView.animate(withDuration: 0.75, animations: {() -> Void in
    UIView.setAnimationCurve(.easeInOut)
    UIView.setAnimationTransition(.flipFromLeft, for: (self.navigationController?.view)!, cache: false)
})
navigationController?.popViewController(animated: false)

@Luca Davanzo的答案在Swift 4.2

public extension UINavigationController {

    /**
     Pop current view controller to previous view controller.

     - parameter type:     transition animation type.
     - parameter duration: transition animation duration.
     */
    func pop(transitionType type: CATransitionType = .fade, duration: CFTimeInterval = 0.3) {
        self.addTransition(transitionType: type, duration: duration)
        self.popViewController(animated: false)
    }

    /**
     Push a new view controller on the view controllers's stack.

     - parameter vc:       view controller to push.
     - parameter type:     transition animation type.
     - parameter duration: transition animation duration.
     */
    func push(viewController vc: UIViewController, transitionType type: CATransitionType = .fade, duration: CFTimeInterval = 0.3) {
        self.addTransition(transitionType: type, duration: duration)
        self.pushViewController(vc, animated: false)
    }

    private func addTransition(transitionType type: CATransitionType = .fade, duration: CFTimeInterval = 0.3) {
        let transition = CATransition()
        transition.duration = duration
        transition.timingFunction = CAMediaTimingFunction(name: CAMediaTimingFunctionName.easeInEaseOut)
        transition.type = type
        self.view.layer.add(transition, forKey: nil)
    }

}

以下是我如何在Swift中做同样的事情:

推动:

    UIView.animateWithDuration(0.75, animations: { () -> Void in
        UIView.setAnimationCurve(UIViewAnimationCurve.EaseInOut)
        self.navigationController!.pushViewController(nextView, animated: false)
        UIView.setAnimationTransition(UIViewAnimationTransition.FlipFromRight, forView: self.navigationController!.view!, cache: false)
    })

流行:

实际上，我对上面的一些回答做了一些不同的处理——但由于我是Swift开发的新手，这可能是不对的。我重写了viewWillDisappear:animated:，并在那里添加了弹出代码:

    UIView.animateWithDuration(0.75, animations: { () -> Void in
        UIView.setAnimationCurve(UIViewAnimationCurve.EaseInOut)
        UIView.setAnimationTransition(UIViewAnimationTransition.FlipFromLeft, forView: self.navigationController!.view, cache: false)
    })

    super.viewWillDisappear(animated)

从示例应用程序中，可以看到这种变化。 https://github.com/mpospese/MPFoldTransition/

#pragma mark - UINavigationController(MPFoldTransition)

@implementation UINavigationController(MPFoldTransition)

//- (void)pushViewController:(UIViewController *)viewController animated:(BOOL)animated
- (void)pushViewController:(UIViewController *)viewController foldStyle:(MPFoldStyle)style
{
    [MPFoldTransition transitionFromViewController:[self visibleViewController] 
                                  toViewController:viewController 
                                          duration:[MPFoldTransition defaultDuration]  
                                             style:style 
                                        completion:^(BOOL finished) {
                                            [self pushViewController:viewController animated:NO];
                                        }
     ];
}

- (UIViewController *)popViewControllerWithFoldStyle:(MPFoldStyle)style
{
    UIViewController *toController = [[self viewControllers] objectAtIndex:[[self viewControllers] count] - 2];

    [MPFoldTransition transitionFromViewController:[self visibleViewController] 
                                  toViewController:toController 
                                          duration:[MPFoldTransition defaultDuration] 
                                             style:style
                                        completion:^(BOOL finished) {
                                            [self popViewControllerAnimated:NO];
                                        }
     ];

    return toController;
}

我不知道有什么方法可以公开更改过渡动画。

如果“后退”按钮不是必需的，你应该使用模态视图控制器来实现“push from bottom”/“flip”/“fade”/(≥3.2)“页面卷曲”过渡。

在私有端，方法-pushViewController:animated:调用未记录的方法-pushViewController:transition:forceImmediate:，因此，例如，如果你想要一个从左到右的翻转转换，你可以使用

[navCtrler pushViewController:ctrler transition:10 forceImmediate:NO];

但是，您不能以这种方式更改“pop”过渡。