(CNN) Ohio Gov. John Kasich wants abortion outlawed -- but he wouldn't say Sunday who should be punished for the procedure.

In the wake of Donald Trump's controversial remark that women who undergo abortions should face punishment -- which Trump quickly reversed -- Kasich wouldn't call for penalties for anyone involved in the process.

His comments came Sunday in an interview with ABC's George Stephanopoulos on "This Week," where Kasich said women should not be punished for abortions.

"It's the first time I've seen the pro-life and the pro-choice people come together to say, you know, that we'll have to we'll have to basically work this out and trying to punish a woman would not be the appropriate way to behave. And I think it's going to take people working in a reasonable way working through it," Kasich said.

But he wouldn't say who should be punished for abortions.

Read More