Moses Malone has the most games with 15+ points and 15+ rebounds in a season, with 42 games in 1982-83.

most games with 15 points 15 rebounds in a season
Interpreted as:
most games by a player with 15 or more points 15 or more rebounds in a season
1982-83Malone2018-19Drummond1991-92Willis2010-11Love1989-90Olajuwon2010-11Howard1999-00O'Neal1992-93O'Neal1988-89Olajuwon2003-04Garnett2017-18Drummond2007-08Howard2002-03Garnett2015-16Drummond2004-05Garnett1993-94O'Neal1990-91Robinson2002-03Duncan2016-17Whiteside2008-09Howard1986-87Barkley1985-86Barkley1984-85Malone1983-84Malone1985-86Laimbeer42414039363333333332313131303030302928282727272726
NAMESEASONTMGPPTSREBMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINASTSTLBLKTOVPF+/-
Moses MaloneMoses Malone1982-83PHIPHI421,09877739.326.118.51.42.08.718.048.00.00.08.811.675.71,6525986125
Andre DrummondAndre Drummond2018-19DETDET4186877236.621.218.81.62.11.92.38.614.958.10.10.520.03.86.558.41,50264887693136+296
Kevin WillisKevin Willis1991-92ATLATL4088175439.122.018.92.21.10.82.88.817.250.90.10.719.24.45.580.41,562864230112109
Kevin LoveKevin Love2010-11MINMIN3993472538.023.918.62.70.60.42.27.715.748.91.63.347.77.08.284.71,48110522168786-65
Hakeem OlajuwonHakeem Olajuwon1989-90HOUHOU3696565041.226.818.13.22.45.74.410.621.249.80.00.133.35.77.674.21,48211588206158146
Dwight HowardDwight Howard2010-11ORLORL3385057539.825.817.41.41.52.53.89.014.860.80.00.10.07.812.861.01,314465181127102+209
Shaquille O'NealShaquille O'Neal1999-00LALLAL331,03760041.731.418.23.70.33.62.912.621.857.70.00.00.06.212.151.31,3751211111896101+347
Shaquille O'NealShaquille O'Neal1992-93ORLORL3386059540.526.118.02.10.93.84.310.118.155.90.00.05.810.058.41,3386929124143126
Hakeem OlajuwonHakeem Olajuwon1988-89HOUHOU3392158139.227.917.62.42.53.84.011.220.354.80.00.20.05.68.466.51,2958083127131127
Kevin GarnettKevin Garnett2003-04MINMIN3277056840.124.117.85.31.22.12.710.019.551.40.30.547.13.85.667.41,28417039678781+270
Andre DrummondAndre Drummond2017-18DETDET3161357835.519.818.63.21.82.12.88.013.658.60.00.20.03.86.261.31,1009855648686+133
Dwight HowardDwight Howard2007-08ORLORL3180256241.025.918.11.41.22.43.48.914.163.40.00.10.08.012.762.91,27143387510596+243
Kevin GarnettKevin Garnett2002-03MINMIN3179253441.925.517.26.21.51.73.410.119.352.60.20.924.15.16.676.61,299193465410687+235
Andre DrummondAndre Drummond2015-16DETDET3060255935.720.118.60.91.91.42.18.416.251.90.00.10.03.37.543.41,0712856436377+120
Kevin GarnettKevin Garnett2004-05MINMIN3072652639.224.217.56.21.51.82.99.319.048.90.10.427.35.56.683.81,17718545548877+146
Shaquille O'NealShaquille O'Neal1993-94ORLORL3094753641.331.617.92.71.13.42.412.621.359.10.00.10.06.411.854.71,23880321017296
David RobinsonDavid Robinson1990-91SASSAS3079751840.126.617.32.61.33.53.79.718.652.20.00.00.07.29.773.61,2037840104111100
Tim DuncanTim Duncan2002-03SASSAS2974650741.925.717.54.80.63.23.69.618.452.00.10.330.06.49.071.61,216140179310387+249
Hassan WhitesideHassan Whiteside2016-17MIAMIA2862249234.922.217.60.60.72.22.39.114.463.40.00.03.96.263.29781720616374+116
Dwight HowardDwight Howard2008-09ORLORL2868450838.724.418.11.21.23.43.38.514.558.40.00.00.07.512.161.81,0843333949291+233
Charles BarkleyCharles Barkley1986-87PHIPHI2766151343.724.519.05.81.91.75.48.414.657.80.31.522.07.39.477.61,179157504514797
Charles BarkleyCharles Barkley1985-86PHIPHI2767849640.725.118.44.42.92.15.49.215.460.00.31.123.36.49.368.91,1001197958146109
Moses MaloneMoses Malone1984-85PHIPHI2772948939.427.018.11.60.81.43.68.618.745.80.00.09.812.081.51,0644422399768
Moses MaloneMoses Malone1983-84PHIPHI2770847139.226.217.41.61.11.74.08.817.949.00.00.00.08.711.178.31,05842314510882
Bill LaimbeerBill Laimbeer1985-86DETDET2654745538.321.017.52.20.81.11.78.315.852.40.10.1100.04.34.888.99965621284484
StatMuse has game-level data for rebounds going back to the 1982-83 season.