A proper cooperation of the guiding column and sleeve in the linear slide bearings of the punching die head-punch block is very important in context of alignment between the punch and the die. Multiple factors like the shaft and sleeve tolerances, contact surface roughness or the type of loading applied to the bearing may have an effect on the movement of the mechanism. In the paper authors focus on the influence of the linear slide bearings distribution on the punching die plate on the stress distribution on the column and the sleeve as well as on the deflection of the head-punch block. It is especially important for the punching dies with one-sided guiding, which allows to move it toward the center of the material to perform a designed perforation pattern. Considering the machines for a polymer composite belt perforation, the deflection of the head-punch block has to reach its minimum since very small punch-die clearances (below 1% of the hole diameter) are used. It induces that presented FEM analyses provide a lot of useful information and allows to design the effective construction of the punching die. Additionally the effect of the return spring system was also modelled.