Todt and Saillant had started legal action against Streiff over comments he made regarding their investigation into Jules Bianchi's Japanese Grand Prix crash.
Streiff accused the FIA of deliberately appointing a panel of individuals ‘close’ to them to ensure the FIA was absolved of any blame for what happened at Suzuka.
But 24-hours after the FIA threat of legal action was made, Streiff said sorry.
In a statement released, Streiff said: "I let myself get carried away in front of the camera.
"The interview took a long time – too long – and I am aware that I made insulting and defamatory comments about Jean Todt, Gerard Saillant and the FIA, which I sincerely regret.
"I refute and take back these accusations, which are unfounded, and ask the press to remove them from their media.
"Lastly, I ask Jean Todt and Gerard Saillant, who are well aware of my health problems, to excuse me.
"I regret having said things about them that are totally out of line with the consideration that they both deserve."