This is a problem with many older email services especially those free services that comes with your ISP.
These instructions apply only if you use OS X v.10.8.5 or earlier.
Sync contacts and other info with iPod touch, iPhone, or iPad
- Connect your iPhone, iPod touch, or iPad to your computer and select your device.
- Click the Info button and select the items you want to sync.
- Click Apply.
For newer OS versions use iCloud.
1. How to Sync Contacts from iPhone 4s/5/5s/6/6s to Mac via iCloud
Step 1. On your iPhone, tap Settings > iCloud > Sign in with your Apple ID > Find Contacts option here and toggle it to ON.
Step 2. On your Mac, if you haven't enabled your iCloud on Mac, you should set it up first. Go to System Preferences > Find and open iCloud > Sign in with your Apple ID > Select Contacts to enable it. After then, all your iPhone contacts are synced to your Mac via iCloud.