Registering your car

If you have bought from a private seller you will have to transfer the car’s registration into your own name before you can legally drive it on the UAE’s roads.
Any outstanding traffic fines attributed to the vehicle will have to be paid before the registration process can be completed. You can check for any penalties on both the Abu Dhabi and/or Dubai police websites. http://www.adpolice.gov.ae/en/default.aspx

In Al Ain:

Motorists should take their vehicle to the ADNOC registration center in Falaj Hazza.
Before doing this make sure you are carrying the correct documents, which, for expatriates – and according to the Abu Dhabi Government website – are:
1. Vehicle registration card
2. Vehicle insurance policy
3. Passport copy and visa
4. Employment certificate
5. Approved vehicle inspection (required at renewal, and annually to obtain a new registration card)

In Al Ain, new private use vehicles are exempt from inspection for the first two years, unless specifically requested by the licensing authority.
The inspection can be done at the licensing department, or at designated Adnoc stations in the emirate. Once the inspection has been passed, any outstanding fines have been paid and the paper work has been submitted, you should check with the delivery counter to receive the new registration. Fees vary but for private vehicles that weigh less than three tonnes the charge is Dh200.

Source: thenational.ae