The technique of constructing Lunberger stochastic observer for the operation of circular external grinding is considered in the article, which makes it possible to obtain optimal estimates of the output parameters of the technological system. To build Lunberger stochastic observer, a program has been developed that allows solving the Riccati equation of the object and the filter. The calculation of the Kalman-Bucy filter coefficients for the steady-state mode of the process of grinding the camshaft journal is performed. This allows us to evaluate the state of the system in real time, and even in the case of measuring only one coordinate, the filter gives estimates of all coordinates, and the maximum estimation errors do not exceed 10%.