Tim Duncan has blocked the most shots in an NBA Finals, with 32 blocks.

most blocks in a single finals series
Interpreted as:
most blocks by a player in a single finals series
2002-03Duncan1993-94Ewing1993-94Olajuwon1979-80Abdul-Jabbar1976-77Walton2004-05Wallace2008-09Howard1985-86Olajuwon1981-82Abdul-Jabbar2009-10Gasol1981-82Jones1977-78Webster2004-05Wallace2000-01O'Neal1977-78Johnson2015-16James1999-00O'Neal1979-80Jones1978-79Sikma2004-05Duncan1998-99Robinson1986-87Abdul-Jabbar1985-86McHale1983-84Abdul-Jabbar1973-74Abdul-Jabbar32302723222120191918181817171716161616151515151515
NAMESEASONSERIESTMGPBLKMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBASTSTLTOVPF+/-
Tim DuncanTim Duncan2002-03NBA FinalsSASSAS63243.824.217.05.31.05.33.89.018.249.50.00.30.06.29.068.52631451023262316+42
Patrick EwingPatrick Ewing1993-94NBA FinalsNYKNYK73044.018.912.41.71.34.33.18.322.936.30.10.720.02.13.071.4308132871292229
Hakeem OlajuwonHakeem Olajuwon1993-94NBA FinalsHOUHOU72743.126.99.13.61.63.93.610.721.450.00.10.1100.05.36.186.03021886425112526
Kareem Abdul-JabbarKareem Abdul-Jabbar1979-80NBA FinalsLALLAL52340.633.413.63.20.64.64.214.626.654.90.00.04.25.280.8203167681632120
Bill WaltonBill Walton1976-77NBA FinalsPORPOR62237.718.519.05.21.03.78.014.754.52.53.278.922611111431623
Ben WallaceBen Wallace2004-05NBA FinalsDETDET72140.010.710.31.01.73.01.04.78.356.90.00.01.33.042.92807572712719+3
Dwight HowardDwight Howard2008-09NBA FinalsORLORL52042.615.415.22.21.64.04.04.28.648.80.00.07.011.660.321377761182020-38
Hakeem OlajuwonHakeem Olajuwon1985-86NBA FinalsHOUHOU61940.224.711.81.82.33.22.79.319.547.90.00.06.09.066.72411487111141626
Kareem Abdul-JabbarKareem Abdul-Jabbar1981-82NBA FinalsLALLAL61935.318.07.73.81.33.22.77.213.553.10.00.03.76.853.7212108462381621
Pau GasolPau Gasol2009-10NBA FinalsLALLAL71841.918.611.63.70.72.61.96.112.947.80.00.30.06.38.772.1293130812651321+12
Caldwell JonesCaldwell Jones1981-82NBA FinalsPHIPHI61829.56.07.80.80.83.00.52.77.237.20.00.00.71.257.1177364755323
Marvin WebsterMarvin Webster1977-78NBA FinalsSEASEA71842.914.913.92.10.32.63.65.712.744.93.44.970.6300104971522527
Rasheed WallaceRasheed Wallace2004-05NBA FinalsDETDET71732.710.95.61.92.02.41.05.011.443.80.72.429.40.10.625.022976391314730+39
Shaquille O'NealShaquille O'Neal2000-01NBA FinalsLALLAL51745.033.015.84.80.43.44.012.622.057.30.00.07.815.251.3225165792422020+40
Dennis JohnsonDennis Johnson1977-78NBA FinalsSEASEA71736.616.65.02.90.42.42.95.614.438.65.47.176.0256116352032019
LeBron JamesLeBron James2015-16NBA FinalsCLECLE71641.729.711.38.92.62.34.411.723.749.41.95.037.14.46.172.12922087962183116+26
Shaquille O'NealShaquille O'Neal1999-00NBA FinalsLALLAL61645.538.016.72.31.02.72.216.026.261.10.00.06.015.538.72732281001461320+8
Caldwell JonesCaldwell Jones1979-80NBA FinalsPHIPHI61633.79.08.31.80.22.71.53.37.047.60.00.02.33.370.02025450111924
Jack SikmaJack Sikma1978-79NBA FinalsSEASEA51644.015.814.82.01.23.22.47.013.651.51.82.864.322079741061220
Tim DuncanTim Duncan2004-05NBA FinalsSASSAS71540.720.614.12.10.42.12.47.718.441.90.00.05.17.766.7285144991531716-8
David RobinsonDavid Robinson1998-99NBA FinalsSASSAS51537.016.611.82.41.03.01.65.011.842.40.00.06.69.668.81858359125816+44
Kareem Abdul-JabbarKareem Abdul-Jabbar1986-87NBA FinalsLALLAL61533.821.77.30.80.52.51.78.316.351.00.00.20.05.07.566.720313044531019
Kevin McHaleKevin McHale1985-86NBA FinalsBOSBOS61540.225.88.51.70.82.53.39.817.257.30.00.06.27.780.4241155511052020
Kareem Abdul-JabbarKareem Abdul-Jabbar1983-84NBA FinalsLALLAL71538.926.68.14.41.72.13.010.722.348.10.00.05.17.667.92721865731122127
Kareem Abdul-JabbarKareem Abdul-Jabbar1973-74NBA FinalsMILMIL71549.332.612.15.40.62.113.926.452.44.97.069.43452288538419
StatMuse has game-level data for blocks going back to the 1974 Finals.