[en] Nuclear level density play an important role in describing the nuclear structure, reaction dynamics and the nuclear astrophysical phenomenon. It is also essential in deriving the thermodynamic properties such as entropy, excitation energy and specific heat etc. of an excited atomic nucleus. This work aims towards the calculation of level density parameter(used as input in the level density calculations) using semiclassical trace formula for deformed nuclei with spin-orbit interactions. The collective effects such as vibrational and rotational, characteristic of coherent motion of large number of nucleons have been taken care through the use of recently proposed level density parameter formula