WASHINGTON—President-elect Donald Trump’s name doesn’t appear in the minutes from the Federal Reserve’s December meeting. But a robust discussion about the potential economic impact from his election victory does.

Fed officials grappled with “considerable uncertainty” about the effect the incoming Trump administration could have on the economy when they met last month, according to minutes from the Fed’s Dec. 13-14 policy meeting released Wednesday.

Almost all officials indicated that the prospects for fiscal stimulus—such as infrastructure spending or tax cuts—could boost economic growth in the coming years. Officials emphasized the timing, size and composition of Mr. Trump’s proposals once he takes office are wild cards in deciding how to adjust interest rates.

Officials “agreed that it was too early to know what changes in these policies would be implemented and how such changes might alter the economic outlook,” the minutes said. Many officials also worried the uncertainty “made it more challenging to communicate to the public about the likely path of the federal funds rate.”

Fed officials voted unanimously last month to lift their benchmark federal-funds rate by a quarter percentage point to a range between 0.50% and 0.75%. It was the first short-term rate increase since December 2015, when officials lifted rates from near zero, where they had remained since the financial crisis.