The Australian midfielder endured an indifferent season at Aston Villa following last summer's free transfer from AZ Alkmaar and will now seek a fresh start with the Dubai club
Holman, who was part of the Australia side that clinched qualification for the 2014 World Cup on Tuesday, suffered a frustrating season at Villa after joining the club just last summer from AZ Alkmaar.
But, after failing to break into Paul Lambert's plans at Villa Park, Holman will now move onto pastures new with Nasr, who hope to introduce their new signing on Friday.
Fahad Hadi, a Nasr board member, told reporters: "Brett represents a strong signing for us as he's an international player who has played in England, one of the top leagues in Europe.
"He has the qualities that we needed at Al Nasr and, most importantly, he has a lot of experience.
"It's good to have someone with that knowledge in our squad, and he will only improve the team."