A labeling \( f \) of a graph \( G \) is called semi-H-cordial if for each vertex \( v \), \( |f(v)| \leq 1 \), \( |e_f(1) – e_f(-1)| \leq 1 \) and \( |v_f(1) – v_f(-1)| \leq 1 \). In this paper we study the forcing semi-H-cordial numbers of paths, cycles, stars, trees, Dutch-windmill graphs, wheels, grids and cylinders.