In order to investigate the shock initiation of warhead charge by multiple explosively formed projectiles （MEFP） impacts， the shock initiation experiments of covered Composition B by single EFP and dual EFP were conducted to test the shock initiation capacity of single EFP and dual EFP on covered Composition B. Moreover， the numerical simulations on shock initiation of covered Composition B by EFP were carried out by AUTODYN finite-element software， the formation processes of single EFP and dual EFP and their shock initiation processes of covered Composition B， were analyzed respectively， and the critical cover plate thickness （H_c） for the detonation of Composition B was obtained. Further， an engineering calculation model of the critical initiation condition of covered charge with dual EFP was established. The experimental results show that the length of EFP is 18 mm and the diameter is 19 mm. The critical cover plate thickness range is 10 mm≤H_c<15 mm for shock initiation of covered Composition B by single EFP impact， while the critical initiation cover plate thickness range is 15 mm≤H_c<20 mm for dual EFP impacts. Besides， the numerical simulation results show that the critical cover plate thickness is 13 mm for shock initiation of covered composition B by single EFP. While for the action of double EFP， the critical initiation cover plate thickness is 19 mm， which is 46.2% higher than that for single EFP. The numerical simulation results are consistent with experimental results. Finally， the calculation model can provide a good prediction of the critical initiation condition of the covered charge with dual EFP.