[9] After the 2020 redistricting cycle, he sought reelection in 2022 in New York's 10th congressional district losing the Democratic primary to attorney Dan Goldman, who went on to win the seat in the general election.

[6][7][8] In a crowded eight-way Democratic primary—the real contest in this heavily Democratic district—Jones defeated attorney Adam Schleifer, former Deputy Assistant Secretary of Defense Evelyn Farkas, State Senator David Carlucci, and State Assemblyman David Buchwald, among others, winning 42% of the vote.

[23] The Associated Press called the race for Jones on July 14, 2020, three weeks after the June 23 primary, the vote tabulation having been delayed because of a large number of absentee ballots due to the COVID-19 pandemic.

[24] In August, Jones filed a lawsuit against President Donald Trump and Postmaster General Louis DeJoy to reverse recent changes made to the United States Postal Service (USPS) that affected the agency's ability to deliver mail, including absentee ballots.

[25] Jones sued Trump and DeJoy "for violating the Constitution in their attempts to undermine the United States Postal Service and thwart free and fair elections this November.

"[26] In September, U.S. District Court Judge Victor Marrero granted an injunction against the USPS that required it to restore overtime and treat all mail-in ballots as first-class mail.

[27][28] In the November general election, Jones faced Republican nominee Maureen McArdle Schulman, a former FDNY firefighter, as well as several third-party candidates.

[30] Along with Ritchie Torres from New York's 15th congressional district, Jones was one of the first gay African Americans elected to the United States House of Representatives.

[42] Jones, Senator Ed Markey, Representative Hank Johnson, and House Judiciary chair Jerry Nadler pushed for an expansion of the Supreme Court from 9 seats to 13.

[53][54] The same year, he joined CNN as an on-air contributor[55] and began working with the nonprofit Future Forward USA Action, which supports progressive causes.

[58] In 2020, marking the 50th anniversary of the first gay Pride parade, Queerty recognized Jones as one of 50 individuals "leading the nation toward equality, acceptance, and dignity for all people.