Huddersfield enjoyed 66% of second-half possession but did not reduce their deficit until Sead Kolasinac's stoppage-time own goal, which was too little, too late for the hosts.
Relive how the action unfolded in Yorkshire with Sports Mole's minute-by-minute updates below.
Subs: Coleman, Billing, Grant, Durm, Stankovic, Pritchard, Depoitre
Subs: Cech, Elneny, Lichtsteiner, Suarez, Mavrapanos, Nketiah, Willock
Crystal Palace 0-1 West Ham; Everton 0-0 Watford, Liverpool 2-0 Bournemouth, Southampton 0-0 Cardiff.