With the championship in the bag, we travelled to the Twin Towers to take on Leicester City in the FA Cup Final.
Legendary manager Bill Nicholson later admitted it wasn't the best of performances but the job was done after the Foxes were reduced to 10 men.
In the end goals from Terry Dyson and Bobby Smith were enough for skipper Danny Blanchflower to lift the famous trophy.
Here Cliff, who scored 15 goals in the double campaign including one in the semi-final against Burnley, talks us through his memories of the day...
"I remember being a normal day in terms of preparations," he recalled from home yesterday.
"We stayed at the hotel, were all up early, had breakfast, had a stroll around the grounds of the hotel, had a team meeting and suddenly we were on the bus to Wembley - that's when the nerves started!
"It was my first cup final, the double was at stake and as we arrived at Wembley you could see the expectation of the fans.
"We got to Wembley and had a walk on the pitch - it was a special surface then and Wembley was so special. We went back to the dressing room and Bill started chatting to the lads, getting the preparations right.
"Everyone was nervous but this is what every player has dreamed of. I remember watching the Stanley Matthews final in 1953 at home in Swansea and now I'm at Wembley, doing what I'd watched all those times. It was so special, especially coming froma footballing family.
"Anyway, it wasn't the best of games in the end. We'd done all the preparations but we didn't perform as we knew we could on the day.
"You have to give credit to Leicester for that. They went down to 10 men and made it very difficult to play against them. They closed down the spaces and it was tough.
"I can't really remember how I felt in the end. We'd won the double but it didn't really sink in.
"I remember in the dressing room afterwards Bill told us 'you lads won't realise what you've achieved today, but in a few years, you will' and he was right.
"We were the first team to do the double and that is something special. I certainly realise that more and more now."
Spurs line-up: Brown, Baker, Henry, Blanchflower, Norman, Mackay, Jones, White, Smith, Allen, Dyson.
We clinched the First Division and FA Cup double on this day 42 years ago and in this 'On This Day' special, Welsh wizard Cliff Jones recalls that great day at Wembley Stadium on May 6, 1961.