About 12 km. from Al Ain town center, there are two towers built on high grounds of Al Hili District. These towers are called tower A and tower B. Text written below was the only information that I have seen and found it about few meters away from the towers. By the way, the Department of Antiquities and Tourism which was the responsible for its restoration is now a part of the Abu Dhabi Authority for Culture and Heritage (ADACH).
The second photo (tower B) was published in Oasis Living Magazine City Snapshots' section in January 2011 and I have included the sepia version in the recently concluded photo exhibition at Al Ain Mall.
"The towers are one of the features of the local military traditional architecture in the city of Al Ain. They used to be built on the high ground to allow better observation and defense for the village of Hili and its oasis. The square tower was built by His Highness Sheikh Zayed bin Sultan Al Nahyan the president, in mid 1940's. They have been rebuilt by the Dept. of Antiquities and Tourism." ~from ADACH.
Word of the day: burj is the Arabic for tower. Salaam!