LeBron James has the most games in the NBA Finals with 3+ rebounds and 3+ assists, with 54 games.

most nba finals games with 3 rebounds and 3 assists or more
Interpreted as:
most NBA finals games by a player with 3 or more rebounds and 3 assists or more
JamesRussellJohnsonWestAbdul-JabbarBryantPippenHavlicekJordanBirdBaylorChamberlainCurryGreenJohnsonJonesWorthyErvingHorryIguodalaWadeO'NealRondoAingeCooper54494840333131302828282624242423202019181817161616
NAMESERIESGPREBASTMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSSTLBLKTOVPF+/-
LeBron JamesLeBron JamesNBA Finals5455342842.628.410.27.91.70.94.010.722.248.21.85.234.85.27.173.22,2991,5349346214130-65
Bill RussellBill RussellNBA Finals491,20025746.617.924.55.26.513.249.44.87.763.22,283875157
Magic JohnsonMagic JohnsonNBA Finals4839657141.819.88.311.92.10.33.96.913.451.60.20.823.75.96.787.52,0059529916188145
Jerry WestJerry WestNBA Finals4023125643.531.45.86.411.524.646.78.410.282.81,7391,255118
Kareem Abdul-JabbarKareem Abdul-JabbarNBA Finals3332015740.526.89.74.81.02.53.211.220.854.20.00.04.36.368.31,337884328179124
Kobe BryantKobe BryantNBA Finals3117917543.625.85.85.61.91.03.39.322.341.81.23.830.56.06.987.01,3518015832102100+82
Scottie PippenScottie PippenNBA Finals3125920042.018.58.46.51.90.93.26.916.442.10.83.126.33.85.273.51,302572592998107+35
John HavlicekJohn HavlicekNBA Finals3025315844.124.38.45.31.10.39.221.443.15.96.885.91,322730123102
Michael JordanMichael JordanNBA Finals2818219743.434.46.57.01.80.73.013.026.748.91.33.438.97.08.780.71,21696351198586+18
Larry BirdLarry BirdNBA Finals2831618142.822.311.36.52.00.82.98.118.144.70.61.440.05.56.287.91,19762355228169
Elgin BaylorElgin BaylorNBA Finals2837714242.225.813.55.110.022.344.85.87.874.81,18272192
Wilt ChamberlainWilt ChamberlainNBA Finals2663412347.718.724.44.77.613.058.53.69.537.51,24148771
Stephen CurryStephen CurryNBA Finals2415016139.827.26.36.71.60.43.68.620.342.24.311.338.45.76.292.69556533898763+120
Draymond GreenDraymond GreenNBA Finals2422916938.813.19.57.01.71.02.74.510.443.61.34.231.72.73.674.7932315402364100+114
Dennis JohnsonDennis JohnsonNBA Finals2413815241.519.95.86.31.41.02.87.517.044.00.31.320.04.86.081.199747833246858
Sam JonesSam JonesNBA Finals231539036.722.36.73.99.320.146.53.74.680.084451459
James WorthyJames WorthyNBA Finals201238740.323.16.24.41.10.72.39.517.753.40.10.333.34.15.969.280646121144553
Julius ErvingJulius ErvingNBA Finals201539640.126.27.74.82.01.82.910.219.053.40.10.514.35.87.676.380252340364449
Robert HorryRobert HorryNBA Finals191407837.411.17.44.11.91.51.43.78.841.71.74.439.32.02.871.771021136292757+109
Andre IguodalaAndre IguodalaNBA Finals181088933.910.16.04.91.20.71.24.08.944.71.34.329.90.82.235.960918121132235+59
Dwyane WadeDwyane WadeNBA Finals181199040.726.06.65.01.91.33.19.219.647.20.61.830.37.09.177.373246834235651+47
Shaquille O'NealShaquille O'NealNBA Finals172308642.930.513.55.10.42.23.811.919.660.70.00.06.812.952.57295197386565+111
Rajon RondoRajon RondoNBA Finals169311733.511.75.87.31.60.22.14.811.342.20.61.930.01.63.152.05361872533430+33
Danny AingeDanny AingeNBA Finals16648834.713.94.05.51.70.12.15.611.448.91.32.550.01.51.692.35552222723456
Michael CooperMichael CooperNBA Finals16768333.415.24.85.21.40.31.65.611.350.00.92.046.93.03.878.75352432252655
StatMuse has game-level data for assists going back to the 1960 Finals.