In this paper, we have explored cold dark matter and holographic dark energy cosmological model with big rip singularity. To obtain the solution of the field equation, we supposed that scalar expansion [Formula: see text] is proportional to shear scalar [Formula: see text], which leads to [Formula: see text], where [Formula: see text], [Formula: see text] are metric potentials and [Formula: see text] is constant. Big bang and big rip singularity are investigated. The state-finder parameter is analyzed. The physical and geometrical parameters of the universe are explained.