A day after he and the White House traded offers, Speaker John A. Boehner of Ohio said he still has serious differences with President Barack Obama about how to come to a deal that can avert the fiscal cliff.

“I was born with the glass half full. I remain the most optimistic person in this town, but we’ve got some serious differences,” he told reporters Wednesday morning.

Boehner said the president’s latest offer included $1.4 trillion in revenue, while Republicans maintained their offer of $800 billion in revenue, though he did not divulge other details of the counteroffers.

“The president and I had a deliberate call yesterday and we spoke honestly and openly about the differences that we face,” Boehner said. “The president called for $1.4 trillion in new revenue. That cannot pass the House or the Senate.”

“If you look at our budget, we had no new revenue in our budget. If you look at the president’s budget, he had $1.6 trillion in new revenue in his budget,” the speaker continued. “We’ve been reasonable and responsible in our approach to this. It’s time for the president to do his part.”

Senate Majority Leader Harry Reid, D-Nev., meanwhile, speaking on the Senate floor, said that he is skeptical about Republicans’ offers of new revenue because they have offered one thing, then done another, in past spending fights.

“The American people aren’t going to be under the illusion that the Republicans are sometime in the future going to come up with revenue. They’re going to come up with raising the rates. Or … we are going over the cliff,” he said. “How many times do we have to go through this drill to know that it’s an unfair game? So, President Obama is not going to fall for that again. He’s been very, very clear. “