Soderbergh, the Oscar-winning director of "Sex, Lies and Videotape," "Traffic," "Erin Brockovich" and "Ocean's Eleven," fathered the baby with Frances Lawrencina Anderson while he was separated from Jules Asner, who he married in 2003.
Soderbergh and Anderson reportedly conceived the child when he was in Sydney directing his play, "Tot Mom," in late 2009.
"The matter is resolved," Anderson's lawyer, Raoul Felder, told the New York Post Wednesday about the paternity suit. "On to the next movie."
Soderbergh's attorney, Bernard Clair, described the child-support agreement as "amicable" but declined to offer any details.
"Both parties preserved their integrity," the Post quoted Clair as saying.