A liquid discharge head comprising: a nozzle plate having a discharge port from which a liquid is discharged; and a valve facing the nozzle plate , the valve configured to open and close the discharge port , the valve including: a core ; and an elastic member attached to the core , wherein the core has a recess , and the recess has: an opening rim on a leading end of the core , the opening rim defining an opening of the recess , and the opening opening toward the discharge port in a depth direction of the recess ; a bottom face opposite to the opening rim in the depth direction; and a retaining portion having a width wider than a width of a portion other than the retaining portion of the recess in a width direction orthogonal to the depth direction, the retaining portion disposed in a rear region between the bottom face and a center of the recess in the depth direction, and the elastic member includes: a first portion fitted into the recess ; and a second portion projecting from the opening of the recess toward the discharge port in the depth direction, characterized in that the retaining portion has a plurality of grooves in the rear region, the plurality of grooves extending in the depth direction, and the recess further has a straight portion between the plurality of grooves and the bottom face , the straight portion having a width constant in the depth direction. a nozzle plate having a discharge port from which a liquid is discharged; and a valve facing the nozzle plate , the valve configured to open and close the discharge port , the valve including: a core ; and an elastic member attached to the core , a core ; and an elastic member attached to the core , wherein the core has a recess , and the recess has: an opening rim on a leading end of the core , the opening rim defining an opening of the recess , and the opening opening toward the discharge port in a depth direction of the recess ; a bottom face opposite to the opening rim in the depth direction; and a retaining portion having a width wider than a width of a portion other than the retaining portion of the recess in a width direction orthogonal to the depth direction, the retaining portion disposed in a rear region between the bottom face and a center of the recess in the depth direction, and an opening rim on a leading end of the core , the opening rim defining an opening of the recess , and the opening opening toward the discharge port in a depth direction of the recess ; a bottom face opposite to the opening rim in the depth direction; and a retaining portion having a width wider than a width of a portion other than the retaining portion of the recess in a width direction orthogonal to the depth direction, the retaining portion disposed in a rear region between the bottom face and a center of the recess in the depth direction, and the elastic member includes: a first portion fitted into the recess ; and a second portion projecting from the opening of the recess toward the discharge port in the depth direction, a first portion fitted into the recess ; and a second portion projecting from the opening of the recess toward the discharge port in the depth direction, characterized in that the retaining portion has a plurality of grooves in the rear region, the plurality of grooves extending in the depth direction, and the recess further has a straight portion between the plurality of grooves and the bottom face , the straight portion having a width constant in the depth direction. <EOS>