Tim Duncan has blocked the most career shots in the playoffs, with 568 blocks.

who has the most blocks in playoffs history
DuncanAbdul-JabbarOlajuwonO'NealRobinsonParishEwingIbakaMcHaleJamesMutomboWallaceHowardErvingGasolWallaceHorryJonesHayesMourningEatonGarnettPippenDurantGreen568476472459312309303292281252251250248239233225225223222215210186185182180
NAMEGPBLKMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBASTSTLTOVPF+/-
Tim DuncanTim Duncan25156837.320.611.43.00.72.32.57.915.750.10.00.114.34.87.068.99,3705,1722,859764168633701+1090
Kareem Abdul-JabbarKareem Abdul-Jabbar19647636.023.49.13.21.02.42.69.517.554.50.00.00.04.35.875.47,0534,5851,778618189447666
Hakeem OlajuwonHakeem Olajuwon14547239.625.911.23.21.73.32.910.419.652.80.00.122.25.17.171.95,7493,7551,621458245424562-29
Shaquille O'NealShaquille O'Neal21645937.524.311.62.70.52.13.09.416.856.30.00.05.410.750.48,0985,2502,508582117649769+638
David RobinsonDavid Robinson12331234.318.110.62.31.22.52.36.213.047.90.00.110.05.67.970.84,2212,2211,301280151280423+362
Robert ParishRobert Parish18430933.615.39.61.30.81.72.16.212.250.60.00.00.03.04.272.26,1772,8201,765234145365617-3
Patrick EwingPatrick Ewing13930337.520.210.32.00.92.22.57.916.946.90.10.234.84.36.071.85,2072,8131,435275122345522+8
Serge IbakaSerge Ibaka14629228.111.06.50.70.42.01.04.58.950.20.61.738.71.41.879.24,0971,59995510961139448+277
Kevin McHaleKevin McHale16928133.818.87.41.60.41.71.97.112.756.10.00.138.14.55.878.85,7163,1821,25327465326571
LeBron JamesLeBron James26625241.528.79.07.21.70.93.710.220.749.51.64.833.76.68.974.011,0357,6312,3911,919454975616+1310
Dikembe MutomboDikembe Mutombo10125130.99.19.50.80.42.51.53.05.851.70.00.00.03.14.470.33,1179189627840149259-71
Ben WallaceBen Wallace13025034.87.211.21.31.51.91.02.85.848.20.00.10.01.63.941.84,5249391,454173199136296+368
Dwight HowardDwight Howard12524831.615.311.81.20.82.02.65.49.258.90.00.114.34.48.054.83,9451,9091,47314994323467-77
Julius ErvingJulius Erving14123937.521.97.04.21.71.73.28.417.348.60.10.319.45.06.477.95,2883,088994594235396403
Pau GasolPau Gasol13623335.515.49.23.20.51.71.86.011.850.80.10.329.73.44.674.14,8252,0981,24643871250356+225
Rasheed WallaceRasheed Wallace17722533.013.56.21.50.81.31.35.211.744.41.13.135.22.02.871.75,8382,3841,099264145228645+325
Robert HorryRobert Horry24422528.07.95.62.41.10.91.22.76.442.61.13.035.91.42.072.26,8231,9391,361575276282717+590
Caldwell JonesCaldwell Jones11922329.16.88.41.20.41.91.62.75.648.40.00.00.01.41.975.93,46681499914751157426
Elvin HayesElvin Hayes8522243.022.513.02.11.12.62.89.119.845.80.00.04.46.764.93,6541,9101,10417597124341
Alonzo MourningAlonzo Mourning9521527.313.67.00.90.52.32.44.69.151.20.10.236.84.26.564.92,5971,2916658145226330+43
Mark EatonMark Eaton7421031.06.17.50.70.52.81.12.45.048.90.00.01.32.063.92,295454557523581250
Kevin GarnettKevin Garnett14318636.918.210.73.31.21.32.47.415.547.80.10.427.33.34.178.95,2832,6011,534471178342431+298
Scottie PippenScottie Pippen20818539.017.57.65.01.90.92.96.414.544.41.03.230.33.75.172.48,1053,6421,5831,048395602686+232
Kevin DurantKevin Durant15118240.329.57.84.01.01.23.210.020.947.82.26.335.77.38.486.56,0834,4541,182610157480375+750
Draymond GreenDraymond Green12318035.612.59.36.11.61.52.64.49.944.51.23.731.52.53.473.74,3761,5361,149754197325458+888
StatMuse has season-level data for blocks going back to the 1974 playoffs.