The development of measurement techniques allows for a new approach to the design of machines. One can use 3D scanning systems and multi-axis computer numerical control (CNC) machines as coordinate measuring machines (CMM). The obtained cloud of measuring points allows to enter more variables into the geometrical product specification (GPS) and hence it allows to get a new method for assessing the tolerances. These situtation refers to axisymmetric elements that have an impact on operation of number of mechanisms. The application of coordinate measuring machines allowed for a new approach to the quality of belt pulley mounitng. Conditions of the contact surface area and allowable manufacturing errors, the actual position of the rotation axis of shaft hole and many other parameters can be defined during the manufacturing stage.