A suspended ceiling grid system has parallel main runners and perpendicular cross members which are formed of pultruded fiber-reinforced plastic. The main runners have vertical webs with regularly spaced vertical slots. The cross members are connected to each other and to the main runners by resilient extruded PVC cross connectors which pass through the main runner web slots and resiliently engage the ends of the cross members. The cross connectors have a horizontal element which is received within horizontal slots in the ends of the cross members, and two vertical elements which engage the cross member webs therebetween. The main runners are supported by overhead hanger wires. Ceiling tiles are received on horizontal flanges of the connected main runners and cross members. The connectors may be attached without tools for convenient assembly of the system.