The FA Cup semi-final between Chelsea and Tottenham will take place on Saturday April 22 at 5.15pm, with the other last-four clash between Arsenal and Manchester City kicking off at 3pm on Sunday April 23.
The meeting of the Premier League's top two - their fourth at Wembley in the last 10 seasons - will be shown live on BBC. Arsenal vs Manchester City will be broadcast on BT Sport 1.
Chelsea beat Manchester United 1-0 in a fiery quarter-final clash to reach the quarter-finals on Monday, a day after Tottenham thrashed London rivals Millwall 6-0 in a match marred by off-field violence between supporters.