This paper describes a conceptual design of a two-wheeled jumping robot to take the advantage of rolling and jumping for surveillance activities. The proposed design is simple and can achieve high efficiency in the jumping process. The jumping mechanism for this robot is derived from a basic single slider-crank chain that is driven by a single DC motor. The mechanism of the robot was first modelled using ADAMS software, and then it was validated using multibody dynamics simulation. The mechanism’s jumping frame makes 62° to the horizontal plane. Simulated results show that the two-wheeled jumping robot can jump up to a height of 30 cm and can have a span of around 20 cm. The centre of gravity was also observed to be one key reason for stable jumping of two-wheeled jumping robots. This jumping mechanism can be installed in robots that can be used in difficult terrains that standard robots will not be able to handle. This research is floated to make significant contributions, particularly in military domains where it can enhance surveillance and navigation capabilities in challenging terrains. These advancements go beyond the capabilities of conventional military forces and traditional robotic systems.