Several leading figures in the campaign to take Britain out of the European Union criticized Carney in the run up to last month's vote, objecting to his warnings that the economy could slip into recession if we voted to leave the bloc.
"I think he is doing an excellent job as governor of the Bank of England," Hammond, who campaigned for Britain to stay in the EU and who was named as the finance minister late on Wednesday, told BBC television.
Asked if he would stick to his predecessor's plans to cut corporation tax, he said it was too soon to say.
"I'm not going to set out what my plans will be here on TV this morning," he said.
"I'm going to sit down with the key figures in the UK economy, like the governor of the Bank of England, look at the situation we face, look at the projections forward and make some carefully considered decisions over the summer."