Wenger's graph H_m(q) is a q-regular bipartite graph in the field F_q.Considering that the domination number of a bipartite graph G=(X∪Y,E) is the sum of Y's domination number in X and X's domination number in Y,by using the matrix operation,the domination set of H_m(q) with minimum cardinality was constructed.It is proved that the two domination numbers are equal,and then the domination number of H_m(q) was determined.