Very narrow saturated double-quantum transitions ($2^{2}S\ensuremath{-}3^{2}S, 3^{2}D$) have been observed for atomic H in a He-
H2 dc discharge using rf and a cw dye laser. The H $3{P}_{\frac{3}{2}}\ensuremath{-}3{D}_{\frac{3}{2}}$ Lamb shift has been measured directly by comparing single- and double-quantum saturation signals to be - 5.5(0.9) MHz, confirming that
3D23 lies lower than the
3P23 state. Further applications of the method are discussed.