Shock ignition is a direct-drive inertial confinement fusion scheme based on the idea of a small central spark ignition that ignites the surrounding cold fuel. In Shock Ignition scheme, by separating compression and ignition phases, ignition condition would be satisfied for an ignition shock-wave driven to a pre-compressed fuel at its maximum compression stage. Therefore, by reducing the implosion velocity in the compression stage and also, with lower energies of the external driver, it is possible to achieve better conditions and a higher energy gain for the ignition of the desired fuel compared to the central spark ignition. In this article, the possibility of shock ignition in inertial confinement fusion DT fuel with a heavy ion beam Bi-209, was performed using the DEIRA4 simulation code, in order to obtain the best possible ignition conditions by optimizing the energy gain and the fuel hydrodynamical efficiency on multi-layered target structure. Shock ignition was investigated by optimizing the power and time interval of each tap of Bi-209 three-stage pulses and the energy gain reached from 137.2 to 169.1 and the energy required for ignition decreased from 6.12 Mj to 4.98 Mj, which corresponds to a 20% decrease in driver energy. Also, it is shown that in shock ignition scheme, the implosion velocity is reduced in the compression stage and so, the rate of growth of Rayleigh–Taylor instability is reduced.