It is thought that Toro Rosso will follow suit. The Italian team who, like Red Bull Racing, are owned by the energy drinks company, did not attend a FOTA meeting in London last week.
"Last week the Sauber F1 Team has declared its departure from the Formula One Teams' Association FOTA. We have explained the reasons for the decision to FOTA," the Swiss-based team said in a statement without giving further details.
Sauber's departure broadens a dispute over how to police cost-cutting measures in the sport. FOTA members have so far been unable to agree upon a new 'Resource Restriction Agreement' to follow the one that was drawn up in 2009.
Ferrari, who provide Sauber with engines, and Red Bull announced last week that they had given notice of withdrawal. Backmarkers HRT quit FOTA back in January.
If they cannot be persuaded to reconsider, the departures might also weaken the teams' collective bargaining power in negotiating a bigger share of the sport's commercial revenues.