The newspaper said the probe is focused on a 2 billion-pound ($3.30 billion) contract awarded to GPT Special Project Management to provide communications and intranet services for the Saudi National Guard.
The allegations surfaced in employment tribunal proceedings and were made by a former GPT employee who claimed Saudi officials were given luxury cars, jewelry and large sums of cash from London accounts through intermediaries, according to the Sunday Times, which first reported the investigation.
EADS and the SFO were not immediately reachable to comment.
The FT said the investigation was confirmed by two sources familiar with the situation, which it did not identify. "We have heard certain allegations and we are getting them properly investigated," the FT quoted EADS as saying.
A source close to the investigation was quoted as saying it was at an "early to mid-stage."