The Baikal-GVD (Gigaton Volume Detector) is a km$^{3}$- scale neutrino telescope located in Lake Baikal. Currently (year 2021) the Baikal-GVD is composed of 2304 optical modules divided to 8 independent detection units, called clusters. Specific neutrino interactions can cause Cherenkov light topology, referred to as a cascade. However, cascade-like events originate from discrete stochastic energy losses along muon tracks. These cascades produce the most abundant background in searching for high-energy neutrino cascade events. Several methods have been developed, optimized, and tested to suppress background cascades.