The Journal, citing people familiar with the situation, reported that one of the executives is Ina Drew, who for seven years has run the risk-management division at the bank responsible for the loss.
The other two identified by the newspaper are an executive in charge of the London desk that placed the trades and a managing director on that team. The bank did not immediately return a message from The Associated Press.
The $2 billion loss, disclosed on Thursday by CEO Jamie Dimon, has been an embarrassment for the bank and led lawmakers and critics of the banking industry to call for tougher regulation of Wall Street.
Drew, one of the highest-ranking women on Wall Street, is the bank's chief investment officer. She was paid $15.5 million last year and almost $16 million the year before, according to a regulatory filing.
The Journal reported that Bruno Iksil, the JPMorgan trader identified as the "London whale" because of the giant bets he placed, was also likely to leave, but the paper reported that it was not clear when that would happen.
On Friday, investors shaved almost 10 per cent off JPMorgan's stock price. Dimon said in a TV interview aired Sunday that he was "dead wrong" when he dismissed concerns about the bank's trading last month.
"We made a terrible, egregious mistake," Dimon said in an interview that was taped Friday and aired on NBC's "Meet the Press." ''There's almost no excuse for it."
Dimon said he did not know the extent of the problem when he said in April that the concerns were a "tempest in a teapot."
The loss came in the past six weeks. Dimon has said it came from trading in so-called credit derivatives and was designed to hedge against financial risk, not to make a profit for the bank.
Dimon said the bank is open to inquiries from regulators. He has also promised, in an email to the bank's employees and in a conference call with stock analysts, to get to the bottom of what happened and learn from the mistake.
Dimon told NBC that he supported giving the government the authority to dismantle a failing big bank and wipe out shareholder equity. But he stressed that JPMorgan, the largest bank in the United States, is "very strong."
A piece of the 2010 financial reform law known as the Volcker rule would prevent banks from certain kinds of trading for their own profit. Dimon has said the trading involved in the $2 billion loss would not have fallen under the rule.
Democratic Rep. Barney Frank, who was one of the namesakes of the 2010 financial overhaul law, known as Dodd-Frank, told ABC's "This Week" that he hopes the final version of the Volcker rule will prevent the type of trading that led to the massive loss at JPMorgan.
Dimon conceded to NBC that the bank "hurt ourselves and our credibility" and expects to "pay the price for that." Asked what the price should be, Democratic Sen. Carl Levin said that banks will lose their fight to weaken the rule.
"This was not a risk-reducing activity that they engaged in. This increased their risk," Levin told NBC.
"So we've got to be very, very careful that the regulators here are not undermined by this huge effort to weaken the rule by putting in a huge loophole" that includes the trading involved in the JPMorgan loss, he said.
Addressing public anger toward Wall Street, Dimon said he wants a more equitable society and does not mind paying higher taxes. But he said attacking all of business is "very counterproductive."