Since generating a textile composite lamina with variable stiffness is possible now by steering tows, modeling the variation in the orientation of tows as exactly as possible is a clamant need for more realistic estimation of the stiffness and loading carrying capacities of textile composite laminate. A Matlab numerical 'Steered-Tow' code was modified from an existed Matlab code Varifab created by the author [88] to model the variation in the tows orientation angles that generated from steering a woven engineering fabric. The modification was taken place in the Varifab algorithm. The new code is able to reproduce a finite element mesh with different shear angle in each single element. The generated mesh is suitable for further finite element simulation to investigate and take general view about the role of steered-tows on alteration of textile composite stiffness within a lamina. Using a simple try and error method the variation in tows due to steering was successfully model in a finite element code by 'Steered Tows' code.