The couple, who costar in the upcoming film Ondine, welcomed son Henry Tadeusz Farrell on Oct. 7 in Los Angeles, a rep for the actor tells PEOPLE.
Henry is the first child for Bachleda, 26, and the second for Farrell, who has a 6-year-old son, James, with model Kim Bordenave.
Confirming the pregnancy to PEOPLE in September, Farrell, 33, said he was looking forward to "everything" about parenthood. "I will take it as it comes. Even changing dirty diapers."
Reporting by JULIE JORDAN