The invention relates to a liquid discharge head and a liquid discharge apparatus. Multiple recording elements are disposed on one face of a recording element board, and a groove-shaped liquid supply channel is provided on the other face in common for the recording elements. Multiple supply ports passing through the recording element board and communicating the liquid supply channel with pressure chambers, and supply-side openings serving as supply ports of liquid to the liquid supply channel are further provided. When discharging liquid, the sum of pressure drop of the liquid from any supply-side opening to the supply port at a position farthest removed from that supply-side opening, and the pressure drop of the liquid at the supply port, is 5000 Pa or less.