The voting comes a year before Mexico's next presidential election, with polls indicating MORENA will be hard to beat.
Del Moral has said the PRI learned from its mistakes and that her coalition would be a broader alternative to MORENA.
As she cast her ballot, del Moral told reporters the vote was historic because for the first time a woman would be elected to govern the state.
Guillermo Fuentes, a 55-year-old PRI supporter and small business owner, said del Moral, not MORENA, was the one who would deliver change to the State of Mexico.
Sheinbaum, like Gomez, MORENA's State of Mexico candidate, is closely identified with Lopez Obrador and his policies.
Persons:
Armando Guadiana, Andres Manuel Lopez Obrador, Lopez, Lopez Obrador, MORENA, Mexico's, Delfina Gomez, Alejandra del, Jobita Pena, Pena, Gomez, Del Moral, Guillermo Fuentes, Claudia Sheinbaum, Marcelo Ebrard, Dave Graham, Alberto Fajardo, Aurora Ellis, Will Dunham, Lisa Shumaker
Organizations:
National Regeneration, Read, MEXICO CITY, Regeneration, Institutional Revolutionary Party, PRI, Reforma, Moral, Mexico City's, Foreign, Thomson
Locations:
Coahuila, Saltillo , Mexico, MEXICO, Mexican, State of Mexico, State, Mexico, Tlalnepantla, MORENA, MORENA's State, of Mexico