Steven Michael Quezada is scheduled Wednesday to take his oath during the board's regular meeting. He won a seat on the city's west side last month after running unopposed.
Quezada plays federal drug agent Steven Gomez on the Albuquerque-based show.
Three of Quezada's four children attend the Public Academy for the Performing Arts, a charter school where the actor has been active on the governing board.
The AMC hit television series is finishing filming its fifth and final season.
"Breaking Bad" follows former high school teacher Walter White, played by Bryan Cranston, producing and selling methamphetamine with a former student, Jesse Pinkman, played by Aaron Paul.
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