Hakeem Olajuwon had the most games in the playoffs with 5+ blocks, with 40 games.

most nba playoff games with 5 blocks or more
Interpreted as:
most NBA playoff games by a player with 5 blocks or more
OlajuwonDuncanO'NealMutomboRobinsonIbakaHowardEwingEatonMourningWallaceWallaceOstertagAbdul-JabbarBolMcHaleGreenKirilenkoGarnettHibbertLaFrentzO'NealSalleyEmbiidCapela40302120171413131312988877666555544
NAMEGPBLKMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBASTSTLTOVPF+/-
Hakeem OlajuwonHakeem Olajuwon4023942.227.911.94.21.96.03.211.421.353.40.10.228.65.16.875.01,6881,11647716774129158-12
Tim DuncanTim Duncan3016940.623.012.54.00.75.63.58.716.851.90.00.10.05.68.169.41,2176903761202010675+249
Shaquille O'NealShaquille O'Neal2111841.530.014.83.60.55.63.211.719.958.60.00.06.612.752.187162931075116869+165
Dikembe MutomboDikembe Mutombo2012143.312.613.21.30.66.12.03.98.347.30.00.04.87.663.686525226326113958+35
David RobinsonDavid Robinson1710037.622.911.43.41.15.92.77.814.653.40.00.10.07.310.569.763939019458194656+66
Serge IbakaSerge Ibaka148136.111.78.10.80.65.81.34.99.452.70.10.433.31.72.182.85061641141191847-18
Dwight HowardDwight Howard137935.316.512.71.31.06.13.36.210.260.60.00.04.28.251.445821516517134354+126
Patrick EwingPatrick Ewing137442.223.313.52.51.25.73.59.221.044.00.10.325.04.86.178.554830317532154649+26
Mark EatonMark Eaton138236.48.59.81.70.56.31.83.57.546.40.00.01.52.269.04731101272272452
Alonzo MourningAlonzo Mourning127136.220.69.81.40.65.92.37.313.952.10.30.737.55.88.767.34342471181772852+15
Ben WallaceBen Wallace94740.29.413.12.32.45.21.33.47.148.40.00.02.66.340.43628511821221222+85
Rasheed WallaceRasheed Wallace84636.514.98.81.41.15.81.86.414.643.61.03.132.01.11.1100.0292119701191428+77
Greg OstertagGreg Ostertag84830.99.58.80.40.56.01.33.46.551.90.00.02.84.561.12477670341020+60
Kareem Abdul-JabbarKareem Abdul-Jabbar84634.624.96.63.50.95.82.89.416.058.60.00.06.17.977.8277199532872231
Manute BolManute Bol74825.44.76.00.30.66.90.92.04.643.80.31.716.70.41.137.5178334224624
Kevin McHaleKevin McHale73642.922.49.72.31.15.13.09.315.460.20.00.03.94.684.4300157681682123
Draymond GreenDraymond Green63338.515.010.76.82.25.52.75.39.059.31.53.247.42.84.268.0231906441131626+50
Andrei KirilenkoAndrei Kirilenko63337.614.75.53.71.55.52.54.89.750.00.01.20.05.06.378.922688332291526+29
Kevin GarnettKevin Garnett63142.126.013.82.52.35.23.09.719.848.70.20.725.06.58.081.32531568315141814+9
Roy HibbertRoy Hibbert52935.915.011.61.80.85.82.06.011.850.80.00.03.04.468.21807558941016+43
Raef LaFrentzRaef LaFrentz52626.412.64.80.20.85.21.05.610.453.80.41.822.21.01.283.3132632414523-7
Jermaine O'NealJermaine O'Neal52639.517.211.01.60.45.22.25.615.635.90.00.60.06.07.876.91988655821116-19
John SalleyJohn Salley52728.610.45.62.00.25.41.84.07.652.60.00.20.02.43.470.61435228101919
Joel EmbiidJoel Embiid42128.825.013.33.80.85.34.87.016.542.41.04.025.010.012.580.0115100531531911+27
Clint CapelaClint Capela42134.18.311.81.31.55.30.53.86.855.60.00.00.81.075.0136334756212-8
StatMuse has game-level data for blocks going back to the 1983 playoffs.