The airline confirmed that so far 28 domestic, three regional and one international flight have been cancelled.
Employees affiliated to the South African Cabin Crew Association (Sacca) are demanding a $170 (R2,222.80) a day meal allowance when travelling overseas.
They currently receive $131 (R1,712.85) which they say has not been increased in the last six years.
Talks between SAA management and the union reached a deadlock on Tuesday night.