Using 2.5 dimensional ideal magnetohydrodynamic (MHD) equations, the propagation of the interplanetary shock and its consequent geoeffectiveness are studied. The numerical results show that the heliospheric current sheet (HCS)–heliospheric plasma sheet (HPS) structure has some negative influences on the propagation of the interplanetary shock. For the shock propagating aslant the HCS, the segment on the opposite side of HCS with respect to shock nose is weaker than the other segment on the same side. The bending effect of the interplanetary shock on the magnetic field is an important mechanism responsible for the geomagnetic storm. The strength and the direction of the bending effect of shock on the magnetic field highly depend on the local normal (or shape) of the shock front. As a quasi‐parallel shock in the propagating direction of shock nose, the strength of its bending effect is very weak. On the contrary, it belongs to a oblique shock mode on the edge of the shock nose, the strength of the bending effect becomes stronger. A concave is formed at the shock front across the HCS–HPS, at which the bending effect is efficiently intensified. The angular distance Δθp between the Earth and the HCS is found to be an important factor which can remarkably affect the consequent geoeffectiveness. The numerical results suggest that: whatever the direction of the interplanetary shock propagates in, there is no notable geoeffectiveness at the shock nose; For the shock propagating along the HCS, the intensest geoeffectiveness occurs on the edge of HCS‐HPS; in contrast, the region at the opposite side of HCS with respect to the shock nose becomes most geoeffective, when the shock propagates aslant the HCS.