Liverpool and Nottingham Forest.
The initial match resulted in a 0–0 draw. The replay saw John Robertson score from the penalty spot after a 'professional' foul by Phil Thompson on John O'Hare, which TV replays later seemed to show was outside the penalty area.
This was enough to win the cup for Nottingham Forest, who thus became the first club to achieve a League and League Cup double.
Road to Wembley
Nottingham Forest
Forest averaged almost 6 goals per game in their route to the final, which included victories over First Division teams West Ham United, Aston Villa and Leeds United (beating the latter 7-3 on aggregate in the semi-final). They also beat city rivals Notts County.
Liverpool
Liverpool were drawn at home to First Division teams in their first 3 rounds, although they needed a replay to beat Coventry City. They then beat Third Division Wrexham in the quarter-final, before edging out Arsenal 2-1 on aggregate in the semi-final.
18th March 1978 Wembley Stadium London
Nottingham Forest 0 Liverpool O AET
Nottingham Forest FC (Manager: Brian Clough)
1 Chris Woods (GK)
2 Viv Anderson
3 Frank Clark
4 John McGovern Captain
5 Larry Lloyd
6 Kenny Burns
7 Martin O'Neill
8 Ian Bowyer
9 Peter Withe
10 Tony Woodcock
11 John Robertson
Substitute:
12 John O'Hare
Liverpool FC Manager: Bob Paisley
1 Ray Clemence (GK)
2 Phil Neal
3 Tommy Smith
4 Phil Thompson
5 Ray Kennedy 91'
6 Emlyn Hughes Captain
7 Kenny Dalglish
8 Jimmy Case
9 Steve Heighway
10 Terry McDermott
11 Ian Callaghan
Substitute:
12 David Fairclough 91'
22nd March 1978 Old Trafford Manchester
Nottingham Forest 1 Liverpool O (John Robertson Penalty)
Nottingham Forest FC Manager: Brian Clough
1 Chris Woods (GK)
2 Viv Anderson
3 Frank Clark
4 John O'Hare
5 Larry Lloyd
6 Kenny Burns Captain
7 Martin O'Neill
8 Ian Bowyer
9 Peter Withe
10 Tony Woodcock
11 John Robertson
Substitute
12 John O'Hare
Liverpool FC Manager: Bob Paisley
1 Ray Clemence (GK)
2 Phil Neal
3 Ray Kennedy
4 Tommy Smith
5 Phil Thompson
6 Emlyn Hughes Captain
7 Kenny Dalglish
8 Jimmy Case 64'
9 Steve Heighway
10 Terry McDermott
11 Ian Callaghan
Substitute
12 David Fairclough 64'