Yes, you can use UILocalNotification, old APIs also works fine with iOS10, but we had better use the APIs in the User Notifications framework instead. There are also some new features, you can only use with iOS10 User Notifications framework.

This also happens to Remote Notification, for more information: Here.

New Features:

1. Now you can either present alert, sound or increase badge while the app is in foreground too with iOS 10
2. Now you can handle all event in one place when user tapped (or slided) the action button, even while the app has already been killed.
3. Support 3D touch instead of sliding gesture.
4. Now you can remove specifical local notification just by one row code.
5. Support Rich Notification with custom UI.

It is really easy for us to convert UILocalNotification APIs to iOS10 User Notifications framework APIs, they are really similar.

I write a Demo here to show how to use new and old APIs at the same time: iOS10AdaptationTips .

For example,

With Swift implementation:

1. import UserNotifications

   ///    Notification become independent from UIKit
   import UserNotifications

2. request authorization for localNotification

       let center = UNUserNotificationCenter.current()
       center.requestAuthorization(options: [.alert, .sound]) { (granted, error) in
           // Enable or disable features based on authorization.
       }

3. schedule localNotification

4. update application icon badge number

   @IBAction  func triggerNotification(){
       let content = UNMutableNotificationContent()
       content.title = NSString.localizedUserNotificationString(forKey: "Elon said:", arguments: nil)
       content.body = NSString.localizedUserNotificationString(forKey: "Hello Tom！Get up, let's play with Jerry!", arguments: nil)
       content.sound = UNNotificationSound.default()
       content.badge = UIApplication.shared().applicationIconBadgeNumber + 1;
       content.categoryIdentifier = "com.elonchan.localNotification"
       // Deliver the notification in 60 seconds.
       let trigger = UNTimeIntervalNotificationTrigger.init(timeInterval: 60.0, repeats: true)
       let request = UNNotificationRequest.init(identifier: "FiveSecond", content: content, trigger: trigger)
   
       // Schedule the notification.
       let center = UNUserNotificationCenter.current()
       center.add(request)
   }
   
   @IBAction func stopNotification(_ sender: AnyObject) {
       let center = UNUserNotificationCenter.current()
       center.removeAllPendingNotificationRequests()
       // or you can remove specifical notification:
       // center.removePendingNotificationRequests(withIdentifiers: ["FiveSecond"])
   }

Objective-C implementation:

1. import UserNotifications

   // Notifications are independent from UIKit
   #import <UserNotifications/UserNotifications.h>

2. request authorization for localNotification

   UNUserNotificationCenter *center = [UNUserNotificationCenter currentNotificationCenter];
   [center requestAuthorizationWithOptions:(UNAuthorizationOptionBadge | UNAuthorizationOptionSound | UNAuthorizationOptionAlert)
                         completionHandler:^(BOOL granted, NSError * _Nullable error) {
                             if (!error) {
                                 NSLog(@"request authorization succeeded!");
                                 [self showAlert];
                             }
                         }];

3. schedule localNotification

4. update application icon badge number

   UNMutableNotificationContent *content = [[UNMutableNotificationContent alloc] init];
   content.title = [NSString localizedUserNotificationStringForKey:@"Elon said:"
                                                       arguments:nil];
   content.body = [NSString localizedUserNotificationStringForKey:@"Hello Tom！Get up, let's play with Jerry!"
                                                      arguments:nil];
   content.sound = [UNNotificationSound defaultSound];
   
   // 4. update application icon badge number
   content.badge = [NSNumber numberWithInteger:([UIApplication sharedApplication].applicationIconBadgeNumber + 1)];
   // Deliver the notification in five seconds.
   UNTimeIntervalNotificationTrigger *trigger = [UNTimeIntervalNotificationTrigger
                                               triggerWithTimeInterval:5.f
                                               repeats:NO];
   UNNotificationRequest *request = [UNNotificationRequest requestWithIdentifier:@"FiveSecond"
                                                                       content:content
                                                                       trigger:trigger];
   /// 3. schedule localNotification
   UNUserNotificationCenter *center = [UNUserNotificationCenter currentNotificationCenter];
   [center addNotificationRequest:request withCompletionHandler:^(NSError * _Nullable error) {
       if (!error) {
           NSLog(@"add NotificationRequest succeeded!");
       }
   }];

Go to here for more information: iOS10AdaptationTips.

updated

Terminating app due to uncaught exception 'NSInternalInconsistencyException', reason: 'time interval must be at least 60 if repeating'

let trigger = UNTimeIntervalNotificationTrigger.init(timeInterval: 60, repeats: true)