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)

使用iJordan的答案作为灵感，为什么不简单地在UINavigationController上创建一个Category来在整个应用程序中使用，而不是复制/粘贴这个动画代码的所有地方?

UINavigationController + Animation.h

@interface UINavigationController (Animation)

- (void) pushViewControllerWithFlip:(UIViewController*) controller;

- (void) popViewControllerWithFlip;

@end

UINavigationController+Animation.m

@implementation UINavigationController (Animation)

- (void) pushViewControllerWithFlip:(UIViewController *) controller
{
    [UIView animateWithDuration:0.50
                     animations:^{
                         [UIView setAnimationCurve:UIViewAnimationCurveEaseInOut];
                         [self pushViewController:controller animated:NO];
                         [UIView setAnimationTransition:UIViewAnimationTransitionFlipFromRight forView:self.view cache:NO];
                     }];
}

- (void) popViewControllerWithFlip
{
    [UIView animateWithDuration:0.5
                     animations:^{
                         [UIView setAnimationCurve:UIViewAnimationCurveEaseInOut];
                         [UIView setAnimationTransition:UIViewAnimationTransitionFlipFromRight forView:self.view cache:NO];
                     }];

    [self popViewControllerAnimated:NO];
}

@end

然后简单地导入UINavigationController+Animation.h文件并正常调用它:

[self.navigationController pushViewControllerWithFlip:[[NewViewController alloc] init]];

[self.navigationController popViewControllerWithFlip];

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];
  }];}

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;
}

意识到这是一个老问题。我仍然想张贴这个答案，因为我有一些问题弹出几个viewcontroller与建议的答案。我的解决方案是子类UINavigationController和覆盖所有的弹出和推方法。

翻转导航控制器.h

@interface FlippingNavigationController : UINavigationController

@end

FlippingNavigationController.m：

#import "FlippingNavigationController.h"

#define FLIP_DURATION 0.5

@implementation FlippingNavigationController

- (void)pushViewController:(UIViewController *)viewController animated:(BOOL)animated
{
    [UIView transitionWithView:self.view
                      duration:animated?FLIP_DURATION:0
                       options:UIViewAnimationOptionCurveEaseInOut | UIViewAnimationOptionTransitionFlipFromRight
                    animations:^{ [super pushViewController:viewController
                                                   animated:NO]; }
                    completion:nil];
}

- (UIViewController *)popViewControllerAnimated:(BOOL)animated
{
    return [[self popToViewController:[self.viewControllers[self.viewControllers.count - 2]]
                             animated:animated] lastObject];
}

- (NSArray *)popToRootViewControllerAnimated:(BOOL)animated
{
    return [self popToViewController:[self.viewControllers firstObject]
                            animated:animated];
}

- (NSArray *)popToViewController:(UIViewController *)viewController animated:(BOOL)animated
{
    __block NSArray* viewControllers = nil;

    [UIView transitionWithView:self.view
                      duration:animated?FLIP_DURATION:0
                       options:UIViewAnimationOptionCurveEaseInOut | UIViewAnimationOptionTransitionFlipFromLeft
                    animations:^{ viewControllers = [super popToViewController:viewController animated:NO]; }
                    completion:nil];

    return viewControllers;
}

@end

我做了以下工作，它很好..并且简单易懂。

CATransition* transition = [CATransition animation];
transition.duration = 0.5;
transition.timingFunction = [CAMediaTimingFunction functionWithName:kCAMediaTimingFunctionEaseInEaseOut];
transition.type = kCATransitionFade; //kCATransitionMoveIn; //, kCATransitionPush, kCATransitionReveal, kCATransitionFade
//transition.subtype = kCATransitionFromTop; //kCATransitionFromLeft, kCATransitionFromRight, kCATransitionFromTop, kCATransitionFromBottom
[self.navigationController.view.layer addAnimation:transition forKey:nil];
[[self navigationController] popViewControllerAnimated:NO];

push也是一样。

Swift 3.0版本:

let transition = CATransition()
transition.duration = 0.5
transition.timingFunction = CAMediaTimingFunction(name: kCAMediaTimingFunctionEaseInEaseOut)
transition.type = kCATransitionFade
self.navigationController?.view.layer.add(transition, forKey: nil)
_ = self.navigationController?.popToRootViewController(animated: false)