Research is aimed at the 7 degrees of freedom (DOF) of Explosive Ordnance Disposal (EOD) manipulator which working inside the bus. Redundant dimensional modeling of the manipulator was made use of three-dimensional (3-D) modeling software to create a coordinate system in the foundation of D-H theory, positive kinematics analysis of the manipulator was carried out, and the pose matrix of the manipulator was set up. Research was carried out of workspace of the end of manipulator using Monte Carlo method, under the environment of MATLAB drawing a figure of bitmap of the manipulator, the workspace and operating blind spot of the end of manipulator were analyzed. The relationship between target space and work space is made out by research, which puts forward an optimization in the use of robotic arm to avoid a blind spot.