Hyperbolic rotation is hyperbolically the motion of a smooth object on general hyperboloids given by −a1x2+a2y2+a3z2=±λ, λ∈R+. In this paper, we investigate the hyperbolical rotation matrices in order to get the motion of a point about a fixed point or axis on the general hyperboloids by defining the Lorentzian Scalar Product Space such that the general hyperboloids are the pseudo-spheres of . We adapt the Rodrigues, Cayley, and Householder methods to and define hyperbolic split quaternions to obtain an hyperbolical rotation matrix.