( CNN ) -- The world 's top golfers will play together at next week 's U.S. Open as organizers have chosen to bring together big names for the season 's second major . Top-ranked Luke Donald will line up with defending champion Rory McIlroy and No . 3 Lee Westwood for the first two rounds at San Francisco 's Olympic Club next Thursday and Friday . And in another stellar group , 14-time major winner Tiger Woods will play with Masters champion Bubba Watson and five-time U.S. Open runner-up Phil Mickelson -- ranked fourth , fifth and 12th respectively . Woods comes into the tournament on the back of his 73rd PGA Tour victory at the Memorial Tournament , where he tied its host Jack Nicklaus in second place on the all-time list behind Sam Snead . The former world No . 1 's last major win came at the 2008 U.S. Open , when he triumphed in a playoff despite a serious knee injury . Four-time major winner Mickelson pulled out of last week 's Ohio event after shooting 79 in his opening round , citing fatigue after a hectic schedule including his wife 's 40th birthday . Mickelson 's rivalry with Woods has provided many of golf 's great moments in the past two decades . They played together at Torrey Pines in 2008 when Woods won his fourth U.S. Open , but their last pairing at a major was the 2009 Masters -- where Mickelson was fifth and Woods tied sixth . Watson has played only twice since April 's Augusta triumph , finishing 18th in New Orleans and then missing the cut at Muirfield Village last week . McIlroy also missed the cut at the Memorial , his third in a row . The Northern Irishman is playing at the St. Jude Classic in Memphis this week , and carded a two-under par 68 in his opening round on Thursday . It left him in touch with the early leaders , but the 23-year-old reach just half of his greens in regulation and found less than half of his fairways in the first round . St. Jude Classic leaderboard . He will need to be more accurate at the tree-lined Olympic Club , which has been totally revamped since it hosted the U.S. Open in 1998 and is expected to provide a stern test . If he wins in Memphis , he will take back the top spot from Donald . Donald has taken a break this week after finishing 12th at the Memorial , and he will be seeking his first major along with fellow Englishman and former world No . 1 Westwood . Westwood is playing at the European Tour 's Scandinavian Masters in Sweden , where he has a three-stroke lead at the halfway stage . The 39-year-old shot 64 in his second round on Thursday as he seeks his third victory at the event , having won it in 2000 and 1996 -- his first professional title . In other notable groups next week , McIlroy 's compatriot Graeme McDowell -- the 2010 U.S. Open champion -- will play with 2003 winner Jim Furyk and another former world No . 2 , Sergio Garcia of Spain . South Africa 's two-time U.S. Open champion Ernie Els will play with 2006 winner Geoff Ogilvy of Australia and Argentina 's Angel Cabrera , who won it in 2007 and the Masters two years later . U.S. Ryder Cup captain Davis Love came through Monday 's qualifying and will line up alongside Ireland 's three-time major champion Padraig Harrington and fellow American veteran David Toms . Retief Goosen , another South African to have won the tournament twice , will play with former world No . 1 Vijay Singh and 2007 Masters champion Zach Johnson , who has won once on the PGA Tour this season . There will be an all-South Korean grouping consisting of eight-time PGA Tour winner K.J . Choi , fellow veteran Y.E . Yang ( who famously headed off Woods to take the 2009 PGA Championship ) and promising 25-year-old K.T . Kim -- who played for the International team at last year 's Presidents Cup . The field also includes Casey Martin , who came through qualifying this week to earn his first major start since 1998 . The 40-year-old , now a university coach in Oregon , needs to use a golf cart due to a circulatory disorder in his leg that means he can not walk 18 holes .
World No . 1 Luke Donald drawn with Rory McIlroy and Lee Westwood for U.S. Open . - The first time the United States has won a major since Jack Nicklaus in 1968. Woods is seeking his third U.S. Open title , while Mickelson has been runner-up five times . The tournament features the return of Casey Martin , who needs to use a golf cart .