This paper considers the problem of global stabilization for a class of generalized feedforward systems whose nonlinearities are allowed to be lower-order growing, instead of higher-order or linear growing as required by most of the existing results. To solve the problem, a domination approach is developed based on the adding a power integrator technique and nested saturation method. The use of a homogeneous structure of controller enables us to relax the growth condition on the nonlinearities and hence enlarges the class of feedforward systems which are globally stabilizable by state feedback.