Characteristics of flow in an emergent vegetated channel is examined considering the effect of side walls. Effect of the side walls is insignificant when width of the cross section is large, which usually is the case for naturally occurring wetlands, channels, rivers, etc. For channels, which are man-made, breadth is not very large and can the flow is significantly affected. The considered flow is steady, fully developed, incompressible and laminar. This laminar flow assumption, may not be valid from practical considerations, but important for understanding the behavior of flow. Equation governing the flow is reduced to its dimensionless form by defining suitable dimensionless variables. The partial differential equation (PDE) is solved employing numerical method. Finite difference method is applied to solve the equation along with the boundary conditions. Further, results are compared with that of previous studies for large width case. These comparisons exhibit very close agreement which validates results of the present numerical study. Results indicate that side walls can significantly affect velocity aspect ratio of unity or more.