The Voter Bill of Rights was launched Thursday ahead of Martin Luther King Jr. Day.
Ohio Legislative Black Caucus president Alicia Reece told attendees at a Columbus rally to collect signatures for the proposal in the spirit of King.
The measure would expand early voting times on weekends and make other changes. The effort responds to a June decision by the U.S. Supreme Court striking down a section of the 1965 Voting Rights Act. A bevy of states have toughened voter laws since the ruling.
Proponents said such measures guard against voter fraud. Critics said the new restrictions are aimed at suppressing low-income voters, particularly minorities.