In his speech, Mr Lewis also criticised Labour for refusing to back Prime Minister Boris Johnson’s push for a general election before the current Brexit deadline of October 31.
He said he was facing calls to face a by-election since he quit Labour last year to sit as an independent.
He added: "That is what the Momentum-types in my constituency keep saying—that I am running away from the electorate by not having a by-election now I am an Independent.
"I am voting for a general election tonight. I am willing to face the people in my constituency, unlike too many of the people on these Benches."
Mr Lewis resigned from Labour in December, citing the party’s antisemitism crisis and an "unnecessary and politically motivated delay” in the investigation into his conduct.
He was suspended by the party in November 2017 after he was accused of sexual harassment. He quit the party in December 2018.
The prime minister's motion for an early general election failed with just 293 MPs voting for it.
Parliament was officially prorogued – or suspended – just before 2am on Tuesday, and will reopen on October 14.
