Peter Hanson grabbed the last of the 11 places available with a hole-in-one at the second extra hole.
I was so pumped up that I switched from a 5-iron to a 6-iron, Hanson said.
This game is just so stupid sometimes Obviously I am delighted to get through, but to do it like that is unbelievable. We were between clubs on the tee but I thought that I would go for a full 6-iron and play for the middle of the green. You need a bit of luck with any hole in one and I got my share today.
Jacquelin had 67-68 and Khan 68-67 over the Old and New Courses at Walton Heath, south of London. They finished a stroke clear of Simon Dyson, who added a 70 to his mornings-best 66 to finish at 8 under.
Thomas Levet of France and Andrew McLardy were at 137 with European Tour rookie David Horsey a stroke back.
Seventy-five players were competing for 11 places over two rounds on the two courses.
There was further drama as seven players shot 139 and played off for five spots.
Jose-Manuel Lara, Jean-Francois Lucquin, Johan Edfors and Francesco Molinari all birdied the first playoff hole, leaving Hanson, Richard Bland and Stephen Gallacher to battle on for the last spot.
Hanson grabbed it with a hole-in-one on the second playoff hole, the 206-yard 17th on the Old Course.
This will be Jacquelins first U.S.Open after he failed to qualify four times.
I played fantastically today. I hope I can play the tournament the same way because I hit the ball very straight today and I am going to have to do that in America,' he said.
I am delighted to be going ' the majors are the tournaments we all want to play in.
Khan has been off his form this year and was restrained in his approach Monday.
If you can make the birdies on the par 5s and keep the mistakes off the card then you have a great chance and thats what I did well today, he said.
Dyson said his morning 66 on the New Course could have been 59. I kind of had it on a string, he said. I was 2 under this afternoon but just played so much better than that, said Dyson, who tied for sixth in the 2007 PGA Championship.
Levet, who used to be based on the PGA Tour, was eager to qualify.
I want to play in the majors and not commentate on French TV like I did at the Masters. I feel that my game is good enough right now for me to belong in the majors.
I knew that I could do it today if I kept calm, Levet said.