Adam Vinatieri has scored the most career points in the playoffs, with 238 points.

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highest points football per field goal attempts career playoffs
Interpreted as:
highest points football per field goal attempts by a player career playoffs
VinatieriGostkowskiAkersCrosbyAndersonRiceSmithThomasBlandaStoverBahrHarrisHauschkaChristieKasaySeptienJohnsonElamWilkinsFritschReedLongwellGronkowski23821217515915313212612611510610310210097969594908686858584
NAMEGPPTSFGAFGMFG%XPAXPMXP%
Adam VinatieriAdam Vinatieri32238695681.2717098.6
Stephen GostkowskiStephen Gostkowski29212464189.1938995.7
David AkersDavid Akers24175473983.0595898.3
Mason CrosbyMason Crosby22159333090.96969100.0
Gary AndersonGary Anderson22153403280.05757100.0
Jerry RiceJerry Rice291320000
Emmitt SmithEmmitt Smith171260000
Thurman ThomasThurman Thomas211260000
George BlandaGeorge Blanda20115392256.44949100.0
Matt StoverMatt Stover16106312580.63131100.0
Matt BahrMatt Bahr14103252184.0414097.6
Franco HarrisFranco Harris191020000
Stephen HauschkaStephen Hauschka16100252496.0292896.6
Steve ChristieSteve Christie1297252288.0333193.9
John KasayJohn Kasay1296252392.0282796.4
Rafael SeptienRafael Septien1595211885.74141100.0
Norm JohnsonNorm Johnson1694262076.9353497.1
Jason ElamJason Elam1590191684.2434297.7
Jeff WilkinsJeff Wilkins1386241875.03232100.0
Toni FritschToni Fritsch1486252080.02626100.0
Jeff ReedJeff Reed1285181688.93737100.0
Ryan LongwellRyan Longwell1485231773.9353497.1
Rob GronkowskiRob Gronkowski20840000
Chris JackeChris Jacke1284241770.83333100.0
Mark MoseleyMark Moseley1182311754.8323196.9
StatMuse has season-level data for field-goal attempts going back to the 1938 playoffs.