"I feel that women have the right to choose what to do to their body," he said.
If the referendum passes, a legal challenge is expected. Attorney General Gary King has said he believes the law is unconstitutional.
A landmark 1973 Supreme Court decision established a constitutional right to have an abortion, but the issue has been bitterly fought over ever since. Several states, notably Texas, have been pursuing abortion restrictions.
A sharply divided Supreme Court on Tuesday allowed Texas to continue enforcing abortion restrictions that opponents say have led more than a third of the state's clinics to stop providing abortions. The justices voted 5-4 to leave in effect a provision requiring doctors who perform abortions in clinics to have admitting privileges at a nearby hospital.