Program complex for modelling of transverse dynamic of particle beams and orbit correction at Nuclotron synchrotron (LHEP JINR) is considered in current work. The program complex provides calculation of transverse dynamic of charged particle beams in Nuclotron and its axis, based on linear model with transport matrix of lattice elements, calculation of Nuclotron Twiss parameters, acceptance and emittance of the beam. A possibility to optimize the location of beam position monitors (pick-up) and multipole correctors is foreseen as well as calculation of the orbit with measuring data of pick-up stations of Nuclotron. Program complex includes realizations of orbit correction algorithms with response matrix and provides correction of the orbit in Nuclotron. User's graphic interface provides interaction of user with program complex, including performance on demand of the user of separate functions of the program complex, providing input and maintenance of parameters, download from file and record into the file of parameters and calculation results, graphical view of the calculations results in program complex. Program software environment is integrated with MAD-X program (upload, processing of data to and from, visualization). Format of input and output data is compatible with relevant MAD-X format.