The seat has been vacant since January after former councilman Luis Chavez was elected to the Fresno County Board of Supervisors.
As of 10:30 p.m., Vang leads the other three candidates with 1,859 votes, a total of 50.50% of the vote so far.
Trailing behind Vang is Elizabeth Jonasson Rosas with 1,272 votes.
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Jose Leon Barraza is currently in third, with Paul Condon rounding out fourth place.
In order to win the seat, a candidate must secure over 50% of the vote.
If that doesn't happen in Tuesday's election, the top two candidates will face off in a runoff over the next few months.
You can stay up-to-date with the early election results by clicking here.