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We introduce an improved code for simulations of star clusters, called MOCCA.It combines the Monte Carlo method for star cluster evolution and the Fewbodycode to perform scattering experiments. The Fewbody was added in order to trackmore precisely dynamical interactions between objects which can lead tocreations of various exotic objects observed in the star clusters, like BlueStragglers Stars (BSS). The MOCCA code is currently one of the most advancedcodes for simulating real size star clusters. It follows the star clusterevolution closely to N-body codes but is much faster. We show that the MOCCAcode is able to follow the evolution of BSS with details. It is a suitable toolto perform full scale evolution of real star clusters and detail comparisonwith observations of exotic star cluster objects like BSS.  This paper is the first one of the series of papers about properties of BSSin star clusters. This type of stars is particularly interesting today, becauseby studying them one can get important constrains on a link between the stellarand dynamical evolution of star clusters. We discuss here first resultsconcerning BSS for an arbitrary chosen test model. We investigate properties ofBSS which characterize different channels of formation like masses, semi-majoraxes, eccentricities, and orbital periods. We show how BSS from differentchannels change their types, and discuss initial and final positions of BSS,their bimodal distribution in the star cluster, lifetimes and more.

MOCCA code for star cluster simulations - I. Blue Stragglers, first results