The man believed to have robbed the same bank branch in Fairfax County six times, attempted another robbery this week, authorities said, but not at the TD Bank branch on Richmond Highway. Instead, the FBI said, it was at the bank’s Annandale branch.

And in this case, Fairfax County police said, the robber fled without cash.

The FBI said the attempt was made Thursday in the 7200 block of Little River Turnpike. The man entered the bank about 4:30 p.m. and demanded money from a teller, according to an FBI “wanted” flier.

The man, who held a cellphone, presented a plastic bag for the cash. But, police said, the man left after the teller “was unable to give him cash.” It was unclear why.

In its flier, the FBI said the man has been dubbed the “Beacon Hill Bandit,” a name linked to a shopping center near the branch where the first six robberies occurred.

The name can be traced to an airport beacon located there as long as 75 years ago.

The man in Thursday’s attempt “is believed to have” robbed that branch six times between March 2010 and Oct. 4, the FBI said.

The FBI said it was offering a reward of up to $5,000.

It said the man in Thursday’s incident was described as black, 5 feet 11 inches, with a medium build and light complexion. It said he wore a dark T-shirt over a gray long-sleeved shirt, blue jeans, dark sneakers and a plain navy-blue baseball cap.

The FBI said he was observed getting into the passenger side of an older model white Jeep Cherokee.