The crime rate in the United Arab Emirates is relatively low compared to more highly industrialized nations. Incidents of petty crime such as pickpocketing are low. The United States Department of State states: “Crime generally is not a problem for travelers in the UAE. However, the U.S. Embassy advises U.S. citizens to take normal precautions against theft, such as not leaving a wallet, purse, or credit card unattended.
Due to the city being ruled under strict Muslim law by Sheikh Mohammed bin Rashid Al Maktoum, Dubai virtually has a 0% crime rate. In a city inhabited primarily by foreigners, people know that they can easily be imprisoned or deported for the slightest of criminal acts, making Dubai one of the safest cities on the planet.
Source: https://en.wikipedia.org/wiki/Crime_in_the_United_Arab_Emirates, http://www.therichest.com/rich-list/the-biggest/top-10-unbelievable-facts-about-dubai/