A hydraulic pressure clutch includes a first connecting hub including first, second, and third oil holes, a transmission case having first, second, and third oil supply portions, an inner sleeve having first, second, and third oil passages, a boss having fourth, fifth, and sixth oil passages, an outer sleeve having seventh and eighth oil passages, a clutch drum, a second connecting hub, a first piston forming a first piston chamber, a plurality of first clutch plates, a plurality of first friction disks disposed alternately with the first clutch plates, a first balance wall forming a first balance chamber, a second piston forming a second piston chamber, a plurality of second clutch plates, a plurality of second friction disks disposed alternately with the second clutch plates, and a second balance wall forming a second balance chamber, wherein the first and second balance chambers are supplied simultaneously through one oil line.