Alvin Robertson had the most games with 7+ steals, with 32 games.

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most 7 steals games
Interpreted as:
most 7 or more steals regular-season games by a player
RobertsonStocktonJordanPaulPippenBlaylockLeverDrexlerChristiePaytonSandiford-ArtestJonesIversonRiversWilliamsOlajuwonGillHarperMooreHarperKnightEhloRichardsonCovingtonYoung32211716141312111010998877666655544
NAMEGPSTLMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBASTBLKTOVPF+/-
Alvin RobertsonAlvin Robertson3224239.219.46.96.97.60.83.28.115.452.80.30.832.02.94.171.01,25362122222224101110
John StocktonJohn Stockton2115736.416.13.215.17.50.23.46.010.656.50.31.028.63.94.979.47643396731847256-1
Michael JordanMichael Jordan1713436.535.55.55.27.91.23.413.123.954.70.41.921.29.010.883.26206049489205739
Chris PaulChris Paul1611838.224.25.010.37.40.32.38.116.648.71.44.035.96.67.687.66123878016443732+173
Scottie PippenScottie Pippen1410338.922.77.16.07.41.43.19.318.151.41.13.532.73.04.467.75453189984194439+31
Mookie BlaylockMookie Blaylock1310038.514.84.38.97.70.42.75.813.941.41.14.524.12.22.880.65011935611653526+56
Fat LeverFat Lever129236.315.87.18.47.70.32.76.114.940.80.31.130.83.34.081.34361898510133231
Clyde DrexlerClyde Drexler118641.224.57.78.27.80.84.19.320.944.30.62.426.95.46.581.9453270859094540+12
Doug ChristieDoug Christie107641.216.05.55.27.60.43.16.012.846.91.44.630.42.63.672.2412160555243127+62
Gary PaytonGary Payton107236.821.94.58.17.20.03.28.717.150.90.62.524.03.96.262.9368219458103223-3
Metta Sandiford-ArtestMetta Sandiford-Artest96740.817.47.15.37.40.82.46.917.339.71.13.631.32.64.063.9367157644872222+76
Eddie JonesEddie Jones96638.120.43.84.67.30.72.06.415.242.31.65.130.46.06.987.1343184344161823+100
Allen IversonAllen Iverson86241.731.32.58.37.80.13.911.524.846.51.02.836.47.310.072.5333250206613115+61
Doc RiversDoc Rivers86027.612.53.87.47.50.52.14.18.647.80.00.40.04.35.479.1221100305941720
Micheal WilliamsMicheal Williams75136.418.43.79.77.30.14.36.111.453.80.71.162.55.45.992.7255129266813020
Hakeem OlajuwonHakeem Olajuwon75243.032.016.12.37.45.65.112.023.052.20.00.08.011.669.130122411316393628
Kendall GillKendall Gill64639.021.05.33.87.70.51.58.215.752.10.71.740.04.06.066.723412632233918+17
Ron HarperRon Harper64739.326.73.55.07.80.74.09.819.750.00.72.328.66.37.880.9236160213042416
Johnny MooreJohnny Moore64935.715.58.311.58.20.53.36.212.051.40.00.50.03.23.882.621493506932016
Derek HarperDerek Harper64331.015.31.86.87.20.52.26.012.050.00.71.740.02.73.380.01869211413139
Brevin KnightBrevin Knight53739.610.02.410.27.40.03.43.29.234.80.00.40.03.63.894.719850125101714+37
Craig EhloCraig Ehlo53538.812.86.66.87.00.43.85.611.449.10.82.040.00.81.266.719464333421919
Micheal Ray RichardsonMicheal Ray Richardson53941.423.06.69.87.80.63.410.019.451.50.00.80.03.04.271.4207115334931719
Robert CovingtonRobert Covington42935.718.87.04.07.30.83.86.313.845.53.37.543.33.03.585.714375281631518-13
Thaddeus YoungThaddeus Young42938.418.010.33.37.31.52.57.517.542.90.84.018.82.32.881.815472411361011-2
StatMuse has game-level data for steals going back to the 1984-85 season.