  Some Bianchi type IX viscous fluid cosmological models are investigated. To
get a solution a supplementary condition between metric potentials is used. The
viscosity coefficient of bulk viscous fluid is assumed to be a power function
of mass density whereas the coefficient of shear viscosity is considered as
proportional to scale of expansion in the model. The cosmological constant
$\Lambda$ is found to be positive and is a decreasing function of time which is
supported by results from recent supernova observations. Some physical and
geometric properties of the models are also discussed.
