Tiger Woods and Phil Mickelson are tied for the most career top ten finishes, with 198 top ten finishes.

most top 10 finishes pga tour history
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WoodsMickelsonFurykSinghLove IIIHochCouplesKiteCalcavecchiaPriceStewartHaasWatsonNormanElsSuttonStadlerO'MearaStrangeJohnsonAzingerKuchar198198188185180163162156142137130130130129126124121119115113112111
NAMEEVENTSTOP 10WINSROUNDSMONEY
Tiger WoodsTiger Woods1022198821,366$120,895,206
Phil MickelsonPhil Mickelson1777198452,269$94,798,661
Jim FurykJim Furyk1826188172,248$71,507,269
Vijay SinghVijay Singh1891185342,220$71,236,216
Davis Love IIIDavis Love III2416180212,735$44,959,243
Scott HochScott Hoch2132163112,344$18,530,158
Fred CouplesFred Couples2086162152,326$22,814,253
Tom KiteTom Kite1698156171,878$10,251,882
Mark CalcavecchiaMark Calcavecchia2355142132,606$24,214,778
Nick PriceNick Price1580137181,739$20,576,105
Payne StewartPayne Stewart1600130111,725$11,737,005
Jay HaasJay Haas240213082,510$14,241,577
Tom WatsonTom Watson1094130211,406$9,414,928
Greg NormanGreg Norman835129201,229$14,012,818
Ernie ElsErnie Els1255126191,605$49,339,398
Hal SuttonHal Sutton2057124142,154$15,267,686
Craig StadlerCraig Stadler1688121131,908$9,839,367
Mark O'MearaMark O'Meara2132119162,282$14,325,370
Curtis StrangeCurtis Strange1608115161,829$7,400,933
Dustin JohnsonDustin Johnson585113241,040$73,959,010
Paul AzingerPaul Azinger1775112121,989$14,467,496
Matt KucharMatt Kuchar104311191,683$53,773,518
David TomsDavid Toms1842111132,010$41,899,655
Sergio GarciaSergio Garcia992110111,361$54,400,870
Steve StrickerSteve Stricker1497109121,791$44,936,354
StatMuse has season-level data for top ten finishes going back to the 1979-80 season.