The authors describe the numerical studies into hydraulic fracturing in an isotropic elastic medium with a fracture initiator set at the hole bottom. The influence of individual factors, including the depth of the fracture initiator, its distance from the hole bottom, the bottom shape, the strength and elasticity of the medium, on the shape of the created fractures and on the fracturing pressure is determined. The application of the revealed dependences in optimization of the technology and equipment of the directional hydraulic fracturing is illustrated.