In this paper, using the periodic ground structure (PGS), highly miniaturized branch-line coupler and impedance transformer were realized on Si radio frequency integrated circuit (RFIC). The branch-line couple exhibited good RF performance from 41.75 to 50 GHz, and its size was $0.46{ imes}0.55mm^2$, which is 37 % of conventional one. The impedance transformer exhibited good RF performance from 1 to 40GHz, and its size was $0.01mm^2$, which is 6.99 % of conventional one.