Ms Hoey, who was one leading Labour figures to back the campaign to leave the European Union, did not hold back as she let rip at the Labour frontbencher for failing to attend the historic vote.
Ms Abbott, MP for Hackney North and Stoke Newington, has been widely criticised for her failure to attend the crunch vote.
“I think Diane has done herself a disservice," Ms Hoey told BBC's Daily Politics programme.
"Having said clearly that she was a Remainer and that she would be voting for Article 50 and then to not to turn up. It was pointless and did not really achieve anything.
“She’s done herself a disservice and I think it is up to her to get out of this.
"She should really just apologise to everyone as she has been behaving rather stupidly.”
Kate Hoey savaged Diane Abbott during a Daily Politics interview
The vote last Thursday gave the government the power to trigger Article 50 and begin formal negations to leave the trading block.
Labour and party leader Jeremy Corbyn issued firm instructions to its MPs to approve the bill – in the form of a ‘three-line whip.’
But Ms Abbott was conspicuous in her absence. She was taken ill shortly before the vote and failed to cast her ballot. A spokesman said she was suffering from a migraine.
This provoked a furious reaction from other MPs, angry that the key figure in the shadow cabinet did not attend. Some have even called for her resignation.
She should really just apologise to everyone as she has been behaving rather stupidly
However, Ms Hoey expressed doubts that Mr Corbyn would sack Ms Abbott from her position as shadow home secretary – or that her influence on the leadership would wane if she returned to the back benches.
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She said: “Whether Diane is sacked or not she is still going to be one of those leading Labour people in the current administration.”
“So I think she will still be one of the people Jeremy will be relying on a lot for advice, she will be talking to all the other members of the shadow cabinet.”