The measure opens voting booths to felons two years after they complete their sentences. Under current law, felons must receive full pardons before regaining their voting rights.
Gov. Dave Heineman has not yet indicated if he will sign the bill into law. He has previously expressed reservations about abandoning the current process, which allows the state Pardons Board to restore voting rights 10 years after sentence completion.
"He has some real concerns about the ideas being put forth," Heineman spokesman Terri Teuber said. "That said, he's going to take the next five days to review the legislation."