The present invention relates to a system (S) for the calculation of the forces exchanged between at least one first and one second individual during locomotion, said system comprising: a forces detection device (1, 1, 1") configured to detect the intensity of a first force exerted by said first individual on said forces detection device (1, 1, 1") and the intensity of a second force exerted by said second individual on said forces detection device (1, 1, 1"), a plurality of kinematic devices (2), each of which is configured to detect the position of said force detection device (1, 1, 1"), and a plurality of motion data associated to said first individual and to said second individual, wherein said plurality of motion data comprises the position of said first individual, the position of said second individual and the position of said forces detection device (1, 1, 1"), and a control logic unit (3), operatively connected to said forces detection device (1, 1, 1") and to said plurality of kinematic devices (2), configured for: acquiring the values of said first force and said second force from said forces detection device (1, 1, 1"), calculating the intensity of the resultant force of said first force and said second force, acquiring the motion data from said plurality of kinematic devices (2), creating a map of the force distribution which shows the direction of said resultant force in a fixed reference system. The present invention also relates to a method of operation of said system (S).