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A spin-isospin dependent Three-Dimensional formalism based on the momentumvectors for the four-nucleon bound state is presented. The four-nucleonYakubovsky equations with two- and three-nucleon interactions are formulated asa function of the vector Jacobi momenta. Our formalism, according to the numberof spin-isospin states that one takes into account, leads to only a strictlyfinite number of the coupled three-dimensional integral equations to be solved.The evaluation of the transition and permutation operators as well as thecoordinate transformations due to considering the continuous angle variablesinstead of the discrete angular momentum quantum numbers are less complicatedin comparison with partial wave representation. With respect to partial wavethe present formalism with the smaller number of equations leads to higherdimensionality of the integral equations. We have concluded thatThree-Dimensional formalism is less cumbersome for considering thethree-nucleon forces.

A Realistic Formalism for 4N Bound State in a Three-Dimensional Yakubovsky Scheme