For those who don't know her she was the Uk's first female black MP.
She seems to like tweeting and offended a lot yesterday with her racist comments on twitter.
She tweeted that ''White people love playing 'divide & rule."
A Met spokesman said the complaints from members of the public were being considered but sources played down the possibility of an inquiry.
I'm quite sure if racist comments had been made by a white politician, they would have been sacked!
It reminded me of the sacking of Carol Thatcher from the BBC 'One Show' because she said, off air, that a tennis player reminded her of a golliwog.
You must be careful not to offend the blacks but the feeling isn't reciprocated.
Well she's been at it again this morning!
Ms Abbott has also provoked outrage from cabbies with another tweet. "Dubious of black people claiming they've never experienced racism," she wrote from her iPhone on Tuesday. "Ever tried hailing a taxi I always wonder?"
Steve McNamara, a spokesman for the Licensed Taxi Drivers Association, said: "This is a typically silly comment by Diane Abbott and deeply unfair. The modern generation of taxi drivers is as diverse as London itself and most of the knowledge schools now have prayer rooms.
"Her comment is a silly stereotype that harks back to the days of 'I don't go south of the river' and 'hanging's too good for them'. It is as outdated and insulting as the stereotype that black people wear woolly hats all the time."
McNamara added that Ms Abbott had once been a passenger in his cab. "She has no trouble being picked up - I picked her from a rather trendy mews development about 10 or 12 years ago," he said.
Somebody take that phone off her before she gets herself into trouble.