Arsenal will play Manchester City on Saturday 18 July before Manchester United take on Chelsea on Sunday 19 July on FA Cup semi-final.
Both matches will be played at Wembley behind closed doors with no fans in attendance.
BT Sport will broadcast the first semi-final on the Saturday evening before the BBC will screen the second on Sunday afternoon.
Arsenal reached the last four with a last-gasp win over Sheffield United while holders City cruised past Newcastle United.
United needed extra-time to get past Norwich while Chelsea proved too good for Leicester in the other quarter-final.
Saturday 18 July
Arsenal v Manchester City (7.45pm) (BT Sport 1)
Sunday 19 July
Manchester United v Chelsea (6pm) (BBC One)
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