This study is concerned with properties of a thermal convection in a stably stratified Boussinesq fluid caused by partial heating at the lower boundary. For this purpose, two-dimensional, nonrotating system was employed. If the heating is very strong, convection takes the form of a turbulent plume. Otherwise, remains laminar. If the partial heating at the bottom boundary is symmetric, the convection takes the form of axisymmetric with respect to the z-axis. but heating form is not so significant as to alter the main features of the horizontal convection. The convective motion consists of two-cell with the convergence in the lower layer at the center of the partial heating area. The temperature perturbation is characterized by the temperature `Cross-Over` over the partial heating area. These features are cleared according to the increase of temperature difference between the center and side part of the bottom boundary.