这是@jhibberd的快速版本

    let cell:MsgTableViewCell! = self.tableView.dequeueReusableCellWithIdentifier("MsgTableViewCell", forIndexPath: indexPath) as? MsgTableViewCell
    cell.msgText.text = self.items[indexPath.row]
    var fixedWidth:CGFloat = cell.msgText.frame.size.width
    var size:CGSize = CGSize(width: fixedWidth,height: CGFloat.max)
    var newSize:CGSize = cell.msgText.sizeThatFits(size)
    var newFrame:CGRect = cell.msgText.frame;
    newFrame.size = CGSizeMake(CGFloat(fmaxf(Float(newSize.width), Float(fixedWidth))), newSize.height);
    cell.msgText.frame = newFrame
    cell.msgText.frame.size = newSize        
    return cell

基于Nikita Took的回答，我想出了以下解决方案，适用于iOS 8的自动布局:

    descriptionTxt.scrollEnabled = false
    descriptionTxt.text = yourText

    var contentSize = descriptionTxt.sizeThatFits(CGSizeMake(descriptionTxt.frame.size.width, CGFloat.max))
    for c in descriptionTxt.constraints() {
        if c.isKindOfClass(NSLayoutConstraint) {
            var constraint = c as! NSLayoutConstraint
            if constraint.firstAttribute == NSLayoutAttribute.Height {
                constraint.constant = contentSize.height
                break
            }
        }
    }

The easiest way to ask a UITextView is just calling -sizeToFitit should work also with scrollingEnabled = YES, after that check for the height and add a height constraint on the text view with the same value. Pay attention that UITexView contains insets, this means that you can't ask the string object how much space it want to use, because this is just the bounding rect of the text. All the person that are experiencing wrong size using -sizeToFit it's probably due to the fact that the text view has not been layout yet to the interface size. This always happen when you use size classes and a UITableView, the first time cells are created in the - tableView:cellForRowAtIndexPath: the comes out with the size of the any-any configuration, if you compute you value just now the text view will have a different width than the expected and this will screw all sizes. To overcome this issue I've found useful to override the -layoutSubviews method of the cell to recalculate textview height.

这适用于iOS 6.1和iOS 7:

- (void)textViewDidChange:(UITextView *)textView
{
    CGFloat fixedWidth = textView.frame.size.width;
    CGSize newSize = [textView sizeThatFits:CGSizeMake(fixedWidth, MAXFLOAT)];
    CGRect newFrame = textView.frame;
    newFrame.size = CGSizeMake(fmaxf(newSize.width, fixedWidth), newSize.height);
    textView.frame = newFrame;
}

或在Swift(适用于Swift 4.1在iOS 11)

let fixedWidth = textView.frame.size.width
let newSize = textView.sizeThatFits(CGSize(width: fixedWidth, height: CGFloat.greatestFiniteMagnitude))
textView.frame.size = CGSize(width: max(newSize.width, fixedWidth), height: newSize.height)

如果你想要支持iOS 6.1，那么你还应该:

textview.scrollEnabled = NO;

我们可以用约束来做。

为UITextView设置高度约束。

2.为高度限制创建IBOutlet。

 @property (weak, nonatomic) IBOutlet NSLayoutConstraint *txtheightconstraints;

3.不要忘记为你的textview设置委托。

4.

-(void)textViewDidChange:(UITextView *)textView
{
    CGFloat fixedWidth = textView.frame.size.width;
    CGSize newSize = [textView sizeThatFits:CGSizeMake(fixedWidth, MAXFLOAT)];
    CGRect newFrame = textView.frame;
    newFrame.size = CGSizeMake(fmaxf(newSize.width, fixedWidth), newSize.height);
    NSLog(@"this is updating height%@",NSStringFromCGSize(newFrame.size));
    [UIView animateWithDuration:0.2 animations:^{
                  _txtheightconstraints.constant=newFrame.size.height;
    }];

}

然后像这样更新你的约束:

非常容易工作的解决方案使用代码和故事板。

通过代码

textView.scrollEnabled = false

通过故事板

取消选中“滚动启用”

除此之外什么都不用做。