Bill Russell has averaged the most career rebounds per game in the playoffs, with 24.9 per game.

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most reb average playoffs
Interpreted as:
most reb by a player average playoffs
RussellChamberlainMillerTyraStokesUnseldPettitBellamyCowensGrozaMikanMaloneThurmondTownsHayesBaylorBarkleyTarpleyDukesSchayesDeBusschereAytonHowardO'NealRandle24.924.518.015.515.014.914.814.814.414.013.913.813.613.413.012.912.912.812.312.212.011.811.811.611.6
NAMEGPRPGMPGPPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBASTSTLBLKTOVPF+/-
Bill RussellBill Russell16524.945.416.24.76.114.243.04.06.760.37,4972,6734,104770546
Wilt ChamberlainWilt Chamberlain16024.547.222.54.28.917.152.24.710.246.57,5593,6073,913673412
Eddie MillerEddie Miller218.046.516.52.56.517.038.23.58.043.893333659
Charlie TyraCharlie Tyra215.527.515.00.56.014.042.93.04.566.755303115
Maurice StokesMaurice Stokes115.039.012.02.03.012.025.06.07.085.739121523
Wes UnseldWes Unseld11914.941.110.63.80.80.71.84.38.749.30.00.50.02.03.260.84,8891,2601,777453675569371
Bob PettitBob Pettit8814.840.325.52.78.720.841.88.010.477.43,5452,2401,304241277
Walt BellamyWalt Bellamy4614.842.218.53.07.014.947.14.46.964.21,939850680136160
Dave CowensDave Cowens8914.442.318.93.71.20.90.98.218.345.10.00.20.02.43.374.43,7681,6841,28533378568398
Alex GrozaAlex Groza314.032.30.712.024.349.38.311.075.89742214
George MikanGeorge Mikan4813.936.620.92.07.117.739.86.78.678.01,5001,00166598214
Moses MaloneMoses Malone9413.840.422.11.40.91.62.68.016.747.90.00.114.36.18.076.23,7962,0771,29513684151215244
Nate ThurmondNate Thurmond8113.635.511.92.80.41.94.711.341.62.64.162.12,8759661,1012271151266
Karl-Anthony TownsKarl-Anthony Towns513.434.015.22.20.41.02.45.612.046.70.62.227.33.44.673.9170766711251214-43
Elvin HayesElvin Hayes9613.043.322.91.91.12.62.89.219.846.40.00.04.56.865.24,1602,1941,24418597222124378
Elgin BaylorElgin Baylor13412.941.127.04.010.423.643.96.38.277.15,5103,6231,724541435
Charles BarkleyCharles Barkley12312.939.423.03.91.60.92.98.216.051.30.52.025.56.18.571.74,8492,8331,582482193108353408+1
Roy TarpleyRoy Tarpley2412.833.617.01.31.21.82.07.114.051.00.00.20.02.73.870.78064073073229434899
Walter DukesWalter Dukes3512.333.212.81.54.310.441.64.15.871.11,16144743251168
Dolph SchayesDolph Schayes8612.234.019.82.76.115.639.17.59.083.72,6871,6991,051229328
Dave DeBusschereDave DeBusschere9612.038.416.02.60.60.36.615.941.62.84.069.83,6821,5361,15525374327
Deandre AytonDeandre Ayton2211.836.415.81.10.81.11.37.010.665.80.00.01.82.473.68013472602518242863+82
Dwight HowardDwight Howard12511.831.615.31.20.82.02.65.49.258.90.00.114.34.48.054.83,9451,9091,47314994248323467-77
Shaquille O'NealShaquille O'Neal21611.637.524.32.70.52.13.09.416.856.30.00.05.410.750.48,0985,2502,508582117459649769+638
Julius RandleJulius Randle511.636.018.04.00.60.04.65.618.829.82.26.633.34.65.485.2180905820302318-42
StatMuse has season-level data for rebounds per game going back to the 1951 playoffs.