Abstract: A process and a system for remotely controlling the assembly of two objects are provided. Display takes place on a display screen (4) linked with the first object (such as a space vehicle) of at least the instantaneous values of the deviations (X, Y, Z) and the cardan angles (.phi.,.theta.,.psi.) between said vehicle and the second object (such as an orbiting station). The display also includes a first polygon (PN) representing a fictional contour of a docking or assembly part of the vehicle, a second polygon (PS1), identical to the first, representing a functional contour of a docking or assembly part (2) of the station and oriented and positioned in the first polygon in accordance with the orientation of the station relative to the vehicle. The display also includes a third polygon (PS2) within the second polygon and having the same orientation, but positioned therein in accordance with the deviations Y and Z.