为了解决您的问题，如@El Capitan所述，您将需要使用该didSelectRowAtIndexPath方法来更改其状态。您的代码应类似于以下内容：

// Declare a variable which stores checked rows. UITableViewCell gets dequeued and restored as you scroll up and down, so it is best to store a reference of rows which has been checked
var rowsWhichAreChecked = [NSIndexPath]()

func tableView(tableView: UITableView, didSelectRowAtIndexPath indexPath: NSIndexPath) {
      let cell:FavCell = tableView.cellForRowAtIndexPath(indexPath) as! FavCell
      // cross checking for checked rows
      if(rowsWhichAreChecked.contains(indexPath) == false){
         cell.checkBox.isChecked = true
         rowsWhichAreChecked.append(indexPath) 
      }else{
         cell.checkBox.isChecked = false
         // remove the indexPath from rowsWhichAreCheckedArray
         if let checkedItemIndex = rowsWhichAreChecked.indexOf(indexPath){
            rowsWhichAreChecked.removeAtIndex(checkedItemIndex)
         }
      }
}

要重新显示滚动到视线之外的行之前检查过的单元格，请在处cellForRowAtIndexPath对rowsWhichAreCheckedarray
执行相同的检查，并相应地设置其状态。

func tableView(tableView: UITableView, cellForRowAtIndexPath indexPath: NSIndexPath) -> UITableViewCell {

let cell:FavCell = self.FavTableView.dequeueReusableCellWithIdentifier("FCell") as! FavCell
cell.FLabel1.text=arrDict[indexPath.section] .valueForKey("favourite_name") as? String
cell.FLabel2.text=arrDict[indexPath.section] .valueForKey("favourite_address") as? String


   if(rowsWhichAreChecked.contains(indexPath) == false){
         cell.checkBox.isChecked = true
    }else{
        cell.checkBox.isChecked = false
    }
  }
    return cell           
}

编辑答案

我的代码可以使用，但是我必须对Checkbox类和ViewController进行一些修改

Checkbox.swift

class CheckBoxButton: UIButton {

    // Images
    let checkedImage = UIImage(named: "CheckBoxChecked")! as UIImage
    let uncheckedImage = UIImage(named: "CheckBoxUnChecked")! as UIImage

    // Bool property
    var isChecked: Bool = false {
        didSet{
            if isChecked == true {
                self.setImage(uncheckedImage, forState: .Normal)
            } else {
                self.setImage(checkedImage, forState: .Normal)
            }
        }
    }

    override func awakeFromNib() {
        self.userInteractionEnabled = false
//        self.addTarget(self, action: #selector(CheckBoxButton.buttonClicked(_:)), forControlEvents: UIControlEvents.TouchUpInside)
//        self.isChecked = false
    }

    func buttonClicked(sender: UIButton) {
        if sender == self {
            if isChecked == true {
                isChecked = false
            } else {
                isChecked = true
            }
        }
    }

}

ViewController.swift

class FavVC: UIViewController, UITableViewDelegate, UITableViewDataSource {


    @IBOutlet weak var FavTableView: UITableView!


    var rowsWhichAreChecked = [NSIndexPath]()

    //var FData = [FavouritesData]()

    var arrDict :NSMutableArray=[]

    let cellSpacingHeight: CGFloat = 5  // cell spacing from each cell in table view

    override func viewDidLoad() {

        self.FavTableView.delegate = self
        self.FavTableView.dataSource = self

        super.viewDidLoad()

        self.jsonParsingFromURL()

        let nib = UINib(nibName:"FavCell", bundle: nil)

        FavTableView.registerNib(nib, forCellReuseIdentifier: "FCell")

    }

    // web services method
    func jsonParsingFromURL ()
    {
//        let token = NSUserDefaults.standardUserDefaults().valueForKey("access_token") as? String

        let url = NSURL(string: "some url")

        let session = NSURLSession.sharedSession()

        let request = NSURLRequest(URL: url!)

        let dataTask = session.dataTaskWithRequest(request) { (data:NSData?, response:NSURLResponse?, error:NSError?) -> Void in
            // print("done, error: \(error)")

            if error == nil
            {

                dispatch_async(dispatch_get_main_queue())
                {
                    self.arrDict=(try! NSJSONSerialization.JSONObjectWithData(data!, options: NSJSONReadingOptions.MutableContainers)) as! NSMutableArray
                    if (self.arrDict.count>0)
                    {
                        self.FavTableView.reloadData()
                    }
                }

            }


        }
        dataTask.resume()

//        
//        let StringUrl = "http"+token!

//        let url:NSURL = NSURL(string: StringUrl)!

//        if let JSONData = NSData(contentsOfURL: url)
//        {
//            if let json = (try? NSJSONSerialization.JSONObjectWithData(JSONData, options: [])) as? NSDictionary
//            {
//                for values in json
//                {
//                    self.FData.append()
//                }

//                if let reposArray = json["data"] as? [NSDictionary]
//                {
//                    
//                    for item in reposArray
//                    {
//                        let itemObj = item as? Dictionary<String,AnyObject>
//                        
//                        let b_type = itemObj!["business_type"]?.valueForKey("type")
//                        
//                        //self.Resultcount.text = "\(b_type?.count) Results"
//                        
//                        if (b_type as? String == "Taxis")
//                        {
//                            
//                            self.FData.append(FavouritesData(json:item))
//                            
//                        }
//                    }
//                }

//            }
//        }

    }

    func numberOfSectionsInTableView(tableView: UITableView) -> Int
    {
//        return self.FData.count
        return self.arrDict.count
    }


    // number of rows
    func tableView(tableView: UITableView, numberOfRowsInSection section: Int) -> Int
    {
        return 1
    }

    // height for each cell
    func tableView(tableView: UITableView, heightForHeaderInSection section: Int) -> CGFloat
    {
        return cellSpacingHeight
    }

    func tableView(tableView: UITableView, cellForRowAtIndexPath indexPath: NSIndexPath) -> UITableViewCell
    {

        let cell:FavCell = self.FavTableView.dequeueReusableCellWithIdentifier("FCell") as! FavCell
        cell.FLabel1.text=arrDict[indexPath.section] .valueForKey("favourite_name") as? String
        cell.FLabel2.text=arrDict[indexPath.section] .valueForKey("favourite_address") as? String

        let isRowChecked = rowsWhichAreChecked.contains(indexPath)

        if(isRowChecked == true)
        {
            cell.checkbox.isChecked = true
            cell.checkbox.buttonClicked(cell.checkbox)
        }else{
            cell.checkbox.isChecked = false
            cell.checkbox.buttonClicked(cell.checkbox)
        }

    return cell
}

    func tableView(tableView: UITableView, didSelectRowAtIndexPath indexPath: NSIndexPath) {
        let cell:FavCell = tableView.cellForRowAtIndexPath(indexPath) as! FavCell
        // cross checking for checked rows
        if(rowsWhichAreChecked.contains(indexPath) == false){
            cell.checkbox.isChecked = true
            cell.checkbox.buttonClicked(cell.checkbox)
            rowsWhichAreChecked.append(indexPath)
        }else{
            cell.checkbox.isChecked = false
            cell.checkbox.buttonClicked(cell.checkbox)
            // remove the indexPath from rowsWhichAreCheckedArray
            if let checkedItemIndex = rowsWhichAreChecked.indexOf(indexPath){
                rowsWhichAreChecked.removeAtIndex(checkedItemIndex)
            }
        }
    }


    override func didReceiveMemoryWarning() {
        super.didReceiveMemoryWarning()
        // Dispose of any resources that can be recreated.
    }

}