The budget proposal passed the House earlier this month but is expected to fail in the Senate. The House voted 235-193 to pass the proposal, with only four Republicans voting against it. No Democrat voted for the plan.
Democrats have characterized the GOP budget as draconian and criticized it for relying solely on spending cuts to close the deficit.
Kohl said raising taxes on the wealthy needs to be part of the budget discussion.
"Most people would like to see — and maybe need to see — that not only are we going to balance the budget by cutting spending on entitlement programs, cutting programs that affect middle class families, but also we are going to ask people who are very, very well off to be part of the effort," said Kohl.