This paper presents the numerical simulations of wind pressure distributions on canopies attached to tall and medium-rise buildings. The most current wind pressure coefficients in wind load codes do not take into account the large scale canopies attached to tall and medium-rise L-shaped buildings. Wind pressure on canopies attached to buildings depends on the building geometry and its features, the location of canopies, surrounding buildings and terrain, as well as canopy sizes and wind directions. Numerical analysis results were compared and investigated using ANSYS CFX 11 codes. Numerical simulation of wind loading on a canopy attached near the base of a tall or medium-height L-shaped building has shown that the downward pressure on the canopy does not grow in proportion to the increase in the height of building-to-canopy ratio. As a result, the downward pressure acting on a canopy attached to a tall L-shaped building is considerably smaller than that of prismatic models used in other researches and we assume that this is due to the shape of the building itself. The results of numerical simulations of L-shaped models differ considerably from those of previous wind tunnel prismatic shape model tests.