NY 35 and US 202 continue south through Peekskill, becoming a two-lane commercial/residential street, soon crossing an intersection with Crompond Road (unsigned CR 24). At this junction, NY 35 and US 202 turn east on Crompond, remaining county maintained as part of CR 24, becoming a two-lane residential street for several blocks. NY 35, US 202 and CR 24 continue eastward for several blocks, winding through the city of Peekskill for several miles. Paralleling US 6 to the north, the routes pass south of Beecher Park and enter a large residential complex. Near Dayton Road, the routes bend southeast, passing Hudson Valley Hospital Center, leaving the city of Peekskill and entering the town of Cortlandt. At this crossing, the CR 24 designation terminates.