Unfurlable rim truss antennae are considered to be the most suitable for developing large size aperture structures for space antenna. They have largely deployed to stowed volume ratio, precision, and reliability in its operation. The mechanism is capable of altering its configuration from a stowed to deployed shape to meet specific operational requirements of space-borne radar. The proposed study of unfurlable mechanism for paraboloid reflector antenna is made up number of parallelogram units comprised of links with appropriate hinge joints, which concatenate in a repeatable fashion to form the desired structure. This study include geometric modeling, kinematic simulation and preliminary structural analysis of unfurlable rim truss