The announcement was made at the SAFA offices in Johannesburg on Wednesday morning.
D'S Damat, which previously sponsored Kaizer Chiefs, will dress both Bafana Bafana and Banyana Banyana when they travel for matches.
"If you look the part on the field, you need to look the part off it. I have no choice but to now wear a suit on the pitch," Banyana coach Desiree Ellis said at the press conference.
Bafana coach Stuart Baxter said: "Self-esteem plays a big role and I hope the suits will give the team the self-esteem."
The Turkish clothing brand has partnered with SAFA for three years.