对于swift4代码，首先启用编辑:

func tableView(_ tableView: UITableView, canEditRowAt indexPath: IndexPath) -> Bool {
    return true
}

然后你添加删除操作到编辑委托:

func tableView(_ tableView: UITableView, editActionsForRowAt indexPath: IndexPath) -> [UITableViewRowAction]? {
    let action = UITableViewRowAction(style: .destructive, title: "Delete") { (_, index) in
        // delete model object at the index
        self.models[index.row]
        // then delete the cell
        tableView.beginUpdates()
        tableView.deleteRows(at: [index], with: .automatic)
        tableView.endUpdates()

    }
    return [action]
}

- (void)tableView:(UITableView *)tableView commitEditingStyle:(UITableViewCellEditingStyle)editingStyle forRowAtIndexPath:(NSIndexPath *)indexPath 
{
    if (editingStyle == UITableViewCellEditingStyleDelete)
    {
        //add code here for when you hit delete
        [dataSourceArray removeObjectAtIndex:indexPath.row];
        [tableView deleteRowsAtIndexPaths:@[indexPath] withRowAnimation:UITableViewRowAnimationAutomatic];
    }    
}    

在启动期间(-viewDidLoad或在storyboard)做:

self.tableView.allowsMultipleSelectionDuringEditing = false

重写以支持表视图的条件编辑。只有当你要为某些项返回NO时，才需要执行这个操作。默认情况下，所有项目都是可编辑的。

- (BOOL)tableView:(UITableView *)tableView canEditRowAtIndexPath:(NSIndexPath *)indexPath {
    // Return YES if you want the specified item to be editable.
    return YES;
}

// Override to support editing the table view.
- (void)tableView:(UITableView *)tableView commitEditingStyle:(UITableViewCellEditingStyle)editingStyle forRowAtIndexPath:(NSIndexPath *)indexPath {
    if (editingStyle == UITableViewCellEditingStyleDelete) {
        //add code here for when you hit delete
    }    
}

在iOS 8和Swift 2.0中，请尝试这个，

override func tableView(tableView: UITableView, canEditRowAtIndexPath indexPath: NSIndexPath) -> Bool {
   // let the controller to know that able to edit tableView's row 
   return true
}

override func tableView(tableView: UITableView, commitEdittingStyle editingStyle UITableViewCellEditingStyle, forRowAtIndexPath indexPath: NSIndexPath)  {
   // if you want to apply with iOS 8 or earlier version you must add this function too. (just left in blank code)
}

override func tableView(tableView: UITableView, editActionsForRowAtIndexPath indexPath: NSIndexPath) -> [UITableViewRowAction]?  {
   // add the action button you want to show when swiping on tableView's cell , in this case add the delete button.
   let deleteAction = UITableViewRowAction(style: .Default, title: "Delete", handler: { (action , indexPath) -> Void in

   // Your delete code here.....
   .........
   .........
   })

   // You can set its properties like normal button
   deleteAction.backgroundColor = UIColor.redColor()

   return [deleteAction]
}

我知道这是一个老问题，但是@Kurbz的答案只需要Xcode 6.3.2和SDK 8.3

我需要添加[tableView beginUpdates]和[tableView endpdates](感谢@bay。phillips)

// Override to support editing the table view.
- (void)tableView:(UITableView *)tableView commitEditingStyle: (UITableViewCellEditingStyle)editingStyle forRowAtIndexPath:(NSIndexPath *)indexPath {
    // Open "Transaction"
    [tableView beginUpdates];

    if (editingStyle == UITableViewCellEditingStyleDelete) {
        // your code goes here
        //add code here for when you hit delete
        [tableView deleteRowsAtIndexPaths:@[indexPath] withRowAnimation:UITableViewRowAnimationFade];
     }

    // Close "Transaction"
    [tableView endUpdates];
}

如果你采用可变数据源，你必须将委托回调移动到UITableViewDiffableDataSource子类。例如:

class DataSource: UITableViewDiffableDataSource<SectionType, ItemType> {

    override func tableView(_ tableView: UITableView, canEditRowAt indexPath: IndexPath) -> Bool {
        return true
    }

    override func tableView(_ tableView: UITableView, commit editingStyle: UITableViewCell.EditingStyle, forRowAt indexPath: IndexPath) {
        if editingStyle == .delete {
            if let identifierToDelete = itemIdentifier(for: indexPath) {
                var snapshot = self.snapshot()
                snapshot.deleteItems([identifierToDelete])
                apply(snapshot)
            }
        }
    }
}