Allen Iverson had the most games with 45+ minutes played, with 221 games.

most nba games with 45 or more minutes by a player
Interpreted as:
most NBA regular-season games with 45 or more minutes by a player
IversonFinleySprewellBryantWalkerPaytonBarkleyJamesJohnsonMasonDuncanMullinOlajuwonMobleyMarionJamisonMarburyPierceJordanMaloneMcGradyWebberFrancisArenasKidd221175162129119118116108108108939389888685858483818079767474
NAMEGPMINMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%PTSREBASTSTLBLKTOVPF+/-
Allen IversonAllen Iverson22110,33646.832.44.06.92.50.14.111.126.042.71.54.633.48.710.980.27,1708921,53254329902436+257
Michael FinleyMichael Finley1758,23747.124.56.54.91.30.52.39.520.646.31.63.940.63.84.781.84,2891,12986022279399361+235
Latrell SprewellLatrell Sprewell1627,60947.023.85.15.11.90.73.28.519.543.61.85.035.95.06.279.63,849825833304117520336-40
Kobe BryantKobe Bryant1296,06547.035.07.26.01.70.83.912.327.145.21.75.034.58.710.483.74,51093077222599506404+283
Antoine WalkerAntoine Walker1195,52546.423.29.85.61.60.63.38.821.441.02.36.734.63.45.067.72,7651,16967119677397384+57
Gary PaytonGary Payton1185,53946.924.16.28.52.10.32.79.320.844.91.54.832.13.85.273.72,8387271,00724835313314+85
Charles BarkleyCharles Barkley1165,41146.629.414.94.71.81.13.710.218.754.60.72.626.28.311.075.43,4131,7235502081324244020
LeBron JamesLeBron James1085,08447.133.08.47.81.90.93.811.624.148.11.85.334.08.010.774.53,56290984521096406245+262
Joe JohnsonJoe Johnson1085,06246.924.25.25.71.00.22.89.520.346.72.15.240.23.24.374.22,61856361911225303223+11
Anthony MasonAnthony Mason1085,03646.617.211.25.31.10.52.26.311.952.90.00.00.04.66.076.01,8531,20756911651233299+336
Tim DuncanTim Duncan934,33546.627.414.23.40.82.73.510.320.949.40.00.213.06.69.669.32,5451,32331476247326272+110
Chris MullinChris Mullin934,38547.228.06.64.62.10.83.210.820.652.61.02.837.25.36.186.52,60261142419976297218+1
Hakeem OlajuwonHakeem Olajuwon894,11146.230.613.93.32.24.33.712.123.451.50.00.115.46.48.873.62,7221,236294195386330335+4
Cuttino MobleyCuttino Mobley884,16247.323.14.73.01.30.52.28.418.445.82.25.242.34.14.787.62,03341426711844196240+91
Shawn MarionShawn Marion864,01646.721.912.22.52.21.61.98.719.045.71.23.832.73.33.885.21,8821,046219186138163253+26
Antawn JamisonAntawn Jamison853,95946.627.010.62.61.00.42.310.322.046.71.64.138.94.86.871.22,2989052208732192240+39
Stephon MarburyStephon Marbury853,95546.527.03.58.71.40.13.19.620.946.01.74.836.46.17.580.52,29529973712312267227-70
Paul PiercePaul Pierce843,92046.728.58.04.61.80.83.69.021.142.62.15.934.98.410.381.92,39567239015264306250+79
Michael JordanMichael Jordan833,89646.935.88.46.32.40.92.913.528.347.60.51.926.98.310.182.32,97269452519975239276+53
Karl MaloneKarl Malone813,77846.630.712.93.91.60.93.511.122.549.50.10.337.58.311.572.52,4831,04331412972282288+78
Tracy McGradyTracy McGrady803,74046.830.87.96.81.61.12.911.225.543.82.15.835.86.48.674.52,46263054612791230154+82
Chris WebberChris Webber793,70146.826.711.95.21.81.73.411.123.746.60.41.527.94.26.168.22,113940407145136265281-72
Steve FrancisSteve Francis763,57747.123.37.56.81.80.53.87.718.342.11.44.431.76.48.080.71,76757051713437289239+104
Gilbert ArenasGilbert Arenas743,47046.930.24.96.31.90.43.79.622.342.93.07.738.48.19.982.32,23436546714326276268+94
Jason KiddJason Kidd743,46146.819.07.711.12.50.43.86.716.440.71.75.432.13.95.276.41,40757282218732283186+73
StatMuse has game-level data for minutes played going back to the 1982-83 season.