Ennis started the party with a dominant victory in the heptathlon before Rutherford leapt to victory in the long jump, the 25-year-old's winning jump of 8.31 metres coming at precisely the same time as Ennis was being introduced to the fans before her final event, the 800m.
And Farah then rounded off an astonishing three triumphs in the space of 45 minutes with a blistering last lap in the 10,000m, completing it in 53 seconds to take gold ahead of American training partner Galen Rupp.
Farah said it was the best moment of his life when his wife Tania and daughter Rihanna joined him on the Olympic Stadium track after his 10,000 metres triumph.
Farah said: "Seeing them on the track was the best moment of my life - having your family there with you at such a moment...
"Rihanna's shoes kept coming off so I took them off so she could come on a lap of honour but she got scared because the crowd were so loud!"
He also said he was inspired by seeing Jessica Ennis having just won the heptathlon.
"I saw Jess with a flag and knew she must have won gold and I just felt I had to win," Farah said.
"As I came through the tunnel, people were just shouting 'Go Mo!' and the atmosphere was something else.
"I was really buzzing - it was like someone had just given me 10 cups of coffee, I was just pumped up so much."
Ennis had a commanding lead going into the 800m but still stormed to victory to improve her national record to 6,955 points and win by an amazing 327 points from world champion Tatyana Chernova.
"I can't believe I've had the opportunity to come to my first Games in London and won an Olympic Gold medal. It's unbelievable," said the 26-year-old from Sheffield, who missed the Beijing Games after suffering a career-threatening foot injury.
"It's a massive relief because it's so hard getting through a heptathlon anyway, it just such a tough event.
"But to have come into this event with all that pressure, and everyone just saying, 'Oh, you're going to win gold, you're going to win gold' - and I know how hard it has been to win it - yeah, I just can't believe I've done it."
Rutherford, who headed the world rankings in 2012, took the lead in the second round with a jump of 8.21m and was never headed, the 25-year-old from Milton Keynes then jumping 8.31m in the fourth round to extend his lead.
Australia's Mitchell Watt (8.16m) took silver and American Will Claye (8.12m) bronze, while Rutherford's British team-mate Chris Tomlinson (8.07m) had to settle for sixth.
World 5,000m champion Farah had thought his race would not come down to the last lap as his rivals feared his sprinting speed, but in the end that was what happened and Farah hit the front at the bell to time his finish to perfection.
The Somalia-born 29-year-old collapsed to the track before being greeted by his seven-year-old stepdaughter Rihanna and wife Tania, who is expecting twins in September.
Rutherford was still finding it hard to believe he had achieved his life's ambition.
"I don't think I'll ever get bored of hearing that," he said, when reminded he is now an Olympic champion.
"That is the most amazing feeling in the world."
Giving a highly emotional interview, Rutherford said: "I have the most amazing parents you could possibly have, a beautiful girlfriend, just everything.
"I can't tell you how much everyone has worked so hard for me, as well as myself.
"It's been a long process.
"I thought I was going to jump further than that but I don't care - I'm Olympic champion."
Speaking on BBC1, he added: "What a night for British athletics. Three gold medals out of a possible three really.
"The crowd were absolutely incredible.
"I don't think it's sunk in properly. This is what I've dreamt of my entire life.
"I knew I was going to be a sportsman. When I picked athletics I knew I wanted to be an Olympic champion.
"And I get to do it in London... I might wake up in a minute."
The Milton Keynes jumper insisted there was plenty more to come from him.
He added: "I want to become double Olympic champion, then triple Olympic champion, and then five-time world medallist, and I want to get quite a few different medals and then I might retire.
"This is just the start for me. I said, these five years, I want them to be my glory years. And I want to win medals, I want to keep winning medals. I'm never, ever going to settle for this.
"It's probably going to be the greatest night of my life no matter what I do but I'm going to keep striving for more."
Jamaica struck the first blow in the battle for sprint supremacy as Shelly-Ann Fraser-Pryce successfully defended her Olympic 100m title.
Fraser-Pryce edged out America's world champion Carmelita Jeter to win in a time of 10.75s, with Jeter just 0.03s behind and Jamaica's Veronica Campbell-Brown taking bronze in 10.81s.
Usain Bolt and Yohan Blake will hope to continue Jamaica's dominance in the final of the men's event on Sunday.