The move follows about $3 billion in fines imposed on financial firms over private messaging.
Rules being phased in over the next couple of years will alter the market's trading infrastructure.
November's elections could impact the agency's rule plans.
Companies from a range of industries have been advertising how they're harnessing AI to improve operations.
The firm agreed to pay more than $50 million to settle at least four CFTC cases last year.
Lawsuits challenging the commission and its powers are striking at the very foundations of the SEC.
The SEC has yet to finish a mandate for public companies to disclose their environmental footprints.
The SEC chair is again warning about leveraged trading by hedge funds and investment firms.
The plans are the latest in a string of new regulations that require hedge funds to share more information.
Gensler has also been sounding the alarm on AI's ability to spark a future financial meltdown.