Mickelson works out his options after finding sand at the 12th

Mickelson carded five bogeys and a double bogey at the last to finish on six over and two outside the mark.

Colin Montgomerie and fellow Scot Paul Lawrie, winner at Carnoustie in 1999, missed out by one after rounds of 74.

Northern Ireland's Darren Clarke also misses the weekend after a second-round 76 left him on six over par.

Highlights: Open Championship day two

Other big names to miss out were 2006 US Open champion Geoff Ogilvy of Australia, American duo Davis Love and David Toms, Sweden's Henrik Stenson and former champions Nick Faldo, Justin Leonard and John Daly.

I didn't play well today but I battled well and played the last five holes in one under par which is as good as it gets Colin Montgomerie

Montgomerie, Lawrie, Leonard and Stenson were in a group of 10 that finished on five over par and were kept waiting to see if they would survive the cut.

They needed Korean-born Australian Lee Won-joon to card a double bogey but at 2115 BST he managed a five to seal their fate.

For Montgomerie it was a fifth straight missed cut in major championships since blowing his chance to win last year's US Open at Winged Foot.

"I'm disappointed obviously. I didn't play well today but I battled well and played the last five holes in one under par which is as good as it gets," said the 44-year-old.

"It wasn't easy. I played well yesterday but didn't putt well."

Asked where he would be with a combination of first-round ball-striking and second-round putting, Montgomerie said: "I would be leading. But I'm not."

606: DEBATE What we're looking at is an incomplete player BBC Sport's Matt Slater on Phil Mickelson

Mickelson, who was in confident mood after reaching the play-off of last week's Scottish Open, said a poor putting display cost him dearly.

"There were under-par scores out there and I just didn't putt well enough to have one of them," said Mickelson.

"I didn't play well but I thought was a very fair test," he admitted. "It was a little windy but it wasn't unplayable.

"I thought I was playing a lot better than this. I started to play some pretty good golf last week and I don't know why I've putted these greens so poorly.

"They are very good, with a very good texture, and I've seen a lot of guys make putts but I just haven't been one of them."