They were ahead for just three minutes before Juan Mata levelled things up to force extra time, though, and Jesse Lingard scored a spectacular winner in the additional 30 to hand the club their first major trophy of the post-Sir Alex Ferguson era.
Find out how all of the action unfolded courtesy of Sports Mole's minute-by-minute coverage below.
CRYSTAL PALACE STARTING XI: Hennessey; Ward, Dann, Delaney, Souare; Zaha, Cabaye, McArthur, Jedinak, Bolasie; Wickham
Subs: Speroni, Kelly, Mariappa, Sako, Puncheon, Gayle, Adebayor
MAN UTD STARTING XI: De Gea; Valencia, Smalling, Blind, Rojo; Carrick, Fellaini, Mata, Rooney, Martial; Rashford
Subs: Romero, Darmian, Jones, Schneiderlin, Herrera, Young, Lingard