This paper proposes a novel modular self-reconfigurable robot named MOPARAS (MOdular PARAllel Spherical robot), which can adjust connector positions to achieve docking in spherical continuous space. MOPARAS is mainly composed of six scissor linkage groups with four connectors arranged at their intersections, which form a parallel RCM mechanism . Compared to existing modular self-reconfigurable robots with fixed connectors, the pose of the four connectors of MOPARAS can be adjusted to attach to its peers, offering more flexible operational capabilities, especially for the aggregates. Additionally, the entire structure maintains rigidity and precision thanks to the parallel mechanism. Subsequently, the kinematics analysis and working space of the module are presented. The basic motion of the module is proposed and abstracted into the interrelationship of inscribed tetrahedrons. Based on this primitive motion, the module can achieve classic chain-like configurations such as manipulators, humanoid robots, and quadruped robots, among others, and can reconfigure between these configurations.