In this paper, Einstein’s Field equations for locally-Rotationally -Symmetric Bianchi type –II space time in the presence of stiff fluid matter and variable cosmological terms are considered. To obtain the exact solution of Non – linear differential equations, we assume time-decaying cosmological term of the forms, Λ= α a ?/a, where a being average scale factor, By using a special law of variation for Hubble’s parameter [Berman, M.S. (1983). Nuovo cimento, B 74,182], which yields a constant value of deceleration parameter. A detailed study of Physical parameters is carried out. The nature of singularities is also discussed.
LRS Bianchi Type II Model, Deceleration Parameter, Stiff fluid, Singularities