The American joined the Woking outfit in 2016, initially as the executive director of the McLaren Technology Group before moving into his current position as the CEO in the middle of 2018.
Under his leadership, McLaren has massively expanded its racing activities to add an IndyCar programme plus a Formula E and Extreme E operation alongside its historic F1 team.
Brown said: "I am thrilled to continue leading McLaren Racing and to be a part of such a historic race team.
"It is a privilege to work alongside the talented men and women across McLaren Racing's different race series.
"Together, we will continue to push the boundaries of motorsport and strive for the highest performance on and off the track."
McLaren Group's executive chairman Paul Walsh added: "Zak has demonstrated exceptional leadership qualities and has been instrumental in driving McLaren Racing forward.
"His extension reflects our confidence in his ability to lead the team to even greater success in the years to come."
More to follow
Source: Autosport