Arsenal, outstanding throughout, refused to be denied and were back in front inside three minutes when Ramsey, who scored the FA Cup final winner against Hull City in 2014, did it again with a header from substitute Olivier Giroud's cross.
Wenger pumped his fists in delight at the final whistle, as a season that has brought so much criticism for the 67-year-old Frenchman, ended in Wembley glory with a record 13th FA Cup win for the Gunners.
Arsene Wenger secured his record seventh FA Cup final win as Arsenal produced a magnificent display to win a Wembley thriller against 10-man Chelsea.
Alexis Sanchez gave Arsenal the lead in contentious fashion after only four minutes, when referee Antony Taylor overruled his assistant after he had flagged for offside against Aaron Ramsey.
The Premier League champions also claimed Sanchez handled in the build-up. And their task became even harder when Victor Moses was correctly sent off by Taylor in the second half after receiving a second yellow card for diving.
Diego Costa revived Chelsea's hopes of a repeat of their league and FA Cup double in 2010 when Arsenal keeper David Ospina failed to keep out his deflected shot with 14 minutes left.
Arsenal, outstanding throughout, refused to be denied and were back in front inside three minutes when Ramsey, who scored the FA Cup final winner against Hull City in 2014, did it again with a header from substitute Olivier Giroud's cross.
Wenger pumped his fists in delight at the final whistle, as a season that has brought so much criticism for the 67-year-old Frenchman, ended in Wembley glory with a record 13th FA Cup win for the Gunners.
Culled From BBCSport
