The rig contract is expected to start in the first quarter of 2016, the company said in a statement filed with the Bombay Stock Exchange.
Upstream had reported in August that Aban was the only bidder in the second category of a tender for three mat-supported jack-up rigs, offering its rig Aban II.
In this category, ONGC was seeking one mat-supported jack-up capable of operating in a high-pressure, high-temperature environment for the job.