Obama said he and other global leaders "completely reject" the secession vote.
Four Republicans back the measure in a 14-3 vote.
The congressional delegation will travel to Ukraine on Thursday.
Kerry said he will meet with Sergei Lavrov on Friday to try and "diffuse" mounting tensions.
Russell Berman 03/12/14 11:13 AM EDT
“This IMF money isn’t necessary for dealing with this Ukraine crisis,” Boehner said.
The group also warned of further actions of Russia annexes Crimea.
The New York Republican said it appears authorities have "done nothing right."
Is the government systematically denying Israeli visa applications?