The sixth-seeded Roddick, a former world No. 1, needed three sets to beat Serbian qualifier Viktor Troicki 5-7, 6-2, 6-4.
Roddick, who won this event in 2004, next meets Czech qualifier Ivo Minar.
Eleventh-seeded Russian Mikhail Youzhny beat American qualifier Bobby Reynolds 6-2, 6-2, and 12th-seeded Australian Open runner-up Jo-Wilfried Tsonga of France defeated Austrian left-hander Jurgen Melzer 6-7 (4-7), 7-5, 6-1 in the second day of second-round play.
Celebrity Couples of 2014 [PHOTOS]