Description of a Josephson vortex (JV) crossed by pancake vortex stacks (PVSs) aligned along the c-axis is proposed. The model, which is based on the extended London theory, takes into account the interaction of PVSs with currents of JV which deform the PVS lattice. The deformation of the PVS lattice induces additional currents along the c-axis which renormalize the JV field distribution as well as the energy of JV. This account for the recent observation of the non-monotonical angular dependence of the vortex lattice melting transition in Bi2Sr2CaCu2O8+δ [J. Mirković et al., Phys. Rev. Lett. 86 (2001) 886].