Balanced matching property is a new property of Walsh function sequence and is equal to its orthogonality. Using balanced matching property and the concept of linear space in Galois field, a generation method of orthogonal function sequence was produced, and this method only need compute two matrixes products in Galois field. In addition, the orthogonal function sequences generated by this method satisfy an important property—multiplication theorem, and constitute the Abel group to its multiplication. Under the specific condition, this method also generates Walsh function sequence of the different serial number. Finally, a new Walsh function generator was designed by using the generation method produced.