There are 3 ways to solve this issue.
The first one you can do is to use iTunes backup files to recover those data in the broken iPhone. The second one depends on the iCloud backup files. If you have iCloud backups, it is easy to get your data back.
Using iPhone contact recovery software is the third way you can trust in.
Here is the guide about this tutorial: how to restore lost iPhone contacts.

 

iPhone is widely used because of its powerful function. However as iPhone is becoming more and more popular, we may face more and more emergency of data loss. Like the following situation: delete accidentally; format unintentionally; operate improperly or other events. Many iPhone users wonder that how to recover deleted contacts from their iPhone.

In fact, we just need two easy steps on how to restore contacts from iPhone with the iPhone data recovery program.

Here is two guides according to different modes for your reference:

Mode 1: recover deleted contacts from iPhone without iTunes Backup
Step 1: Install Program and Connect iPhone to Computer
Step 2: Scan iPhone, Preview and Selectively Recover Deleted Contacts

Mode 2: Extract iPhone 4s/5 Contacts from iTunes Backup without iPhone
Step 1: Connect iPhone via USB, Scan the Backup File:
Step 2: Preview the Contacts and Recover iPhone Contacts Selectively:

It is a 3-in-1 recover tool to recover all Files from iPhone/iPad/iPod to PC. In addition, iPhone Data Recovery is 100% no risks. It will not do any damage to your original files.

 

How to Recover deleted Notes on iPhone? As we know, iTunes can only restore the entire backup which means all of your current data be will overwritten while iCloud is only capable of recovering a limited file types. In this situation,how to restore iPhone from backup files safely and selectively ? iPhone Data Recovery can give you a hand! How to Recover Deleted Voicemail from iPhone
iPhone Data Recovery is come to recovering important data, including contacts, text messages, pictures, movies, bookmarks, calendar, call history and voicemail. You are available to use three ways to retrieve deleted data on iPhone.
You can choose anyone of them to view and regain you deleted data after you check out the detail below.
iPhone messages Recovery

 

If you want to recover deleted and lost contacts from iPhone, you need to use iPhone Data Recovery. It can scan your iPhone deeply to find the deleted and lost contacts for you. You can preview them before recovering. Learn how to recover deleted contacts from iPhone. besides contacts, you can also recover messages, photos, videos, call history, notes, reminders, calendars, voice memos, voicemail, safari bookmarks, Whatsapp messages and other deleted data for you.