There were only two candidates running for the district seat, which includes Glassell Park, Highland Park, Mount Washington, Westlake, Chinatown and Pico-Union.
That means the winner of June 7 primary election takes the seat.
Hernandez, a long-time resident of District 1, has led the ballot count for the last several days.
As of Monday morning, Hernandez has more than 53% of the votes compared to Cedillo, who currently stands at 46%.
"The latest vote count confirms what we've said all along: CD1 demands true, honest, and responsive representation in city hall," said Hernandez in a statement posted on Twitter.
Cedillo has yet to concede.
For more primary day election results, click here.