记住，在Swift中，扩展绝对是你的朋友!

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: String = kCATransitionFade, duration: CFTimeInterval = 0.3) {
        self.addTransition(transitionType: type, duration: duration)
        self.popViewControllerAnimated(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: String = kCATransitionFade, duration: CFTimeInterval = 0.3) {
        self.addTransition(transitionType: type, duration: duration)
        self.pushViewController(vc, animated: false)
    }

    private func addTransition(transitionType type: String = kCATransitionFade, duration: CFTimeInterval = 0.3) {
        let transition = CATransition()
        transition.duration = duration
        transition.timingFunction = CAMediaTimingFunction(name: kCAMediaTimingFunctionEaseInEaseOut)
        transition.type = type
        self.view.layer.addAnimation(transition, forKey: nil)
    }

}

@Magnus回答，只有Swift(2.0)才会这样

    let transition = CATransition()
    transition.duration = 0.5
    transition.timingFunction = CAMediaTimingFunction(name: kCAMediaTimingFunctionEaseInEaseOut)
    transition.type = kCATransitionPush
    transition.subtype = kCATransitionFromTop
    self.navigationController!.view.layer.addAnimation(transition, forKey: nil)
    let writeView : WriteViewController = self.storyboard?.instantiateViewControllerWithIdentifier("WriteView") as! WriteViewController
    self.navigationController?.pushViewController(writeView, animated: false)

旁注:

你也可以用Segue做这个，只需要在prepareForSegue或shouldPerformSegueWithIdentifier中实现。但是，这也会保留默认动画。要解决这个问题，你必须转到故事板，单击Segue，取消选中“Animates”框。但这将限制你的应用在IOS 9.0及以上(至少当我在Xcode 7中这样做时)。

在segue中，最后两行应该替换为:

self.navigationController?.popViewControllerAnimated(false)

即使我设为false，它还是会忽略它。

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。

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)

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)

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