The propagation control characteristic of Gaussian optical waves in parity-time (PT)-symmetric Kerr nonlinear planar waveguide with a Gaussian distribution is numerically studied based on the theoretical model of the optical-wave propagation in a PT-symmetric waveguide. The PT-symmetric waveguide requires the refractive-index distribution of the waveguide to have an even symmetry, whereas the gain/loss distribution must be odd. The results demonstrate that in the Gaussian PT-symmetric waveguide, the fundamental-mode Gaussian optical wave can form a wave-shaped beam that has a stable propagation. When the strength of the refractive-index distribution is increased, the oscillation frequency of the wave-shaped beam increases and the oscillation amplitude decreases. When the refractive index becomes larger, the two beams of the first-order Gaussian optical wave in the PT-symmetric waveguide can be restricted at the center of the waveguide, allowing stable propagation of the two beams. The second-order Gaussian optical wave requires a stronger refractive-index distribution for it to be restricted. This work lays a theoretical foundation for the application of PT-symmetric waveguide in all-optical switching control.