The Special Air Service (SAS) is a regiment of the British Army.
It was reported earlier that British police were looking into claims that a member of the military had killed them.
Police said that having conducted a "scoping exercise" there was no basis to open a criminal investigation.
A 2008 inquest ruled that the car accident occurred in a Paris tunnel partly due to the "gross negligence" of the driver.
Princess Diana, the former wife of Charles, Prince of Wales, and the mother of princes William and Harry, was 36 when she died along with Fayed, 42.
The crash happened after they left a hotel and were pursued by paparazzi on motorbikes.
--IANS (Posted on 17-12-2013)