LeBron James has the most career triple-doubles by a player 35 or older, with 14 triple-doubles.

most triple doubles by a player after turning 35
Interpreted as:
most regular-season triple doubles by a player after turning 35 years old
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JamesKiddGasolPierceBryantJacksonMaloneRobertsonChamberlainRussellLowryPaulWadeBarnesDuncanPaytonDivacMutomboOakleyJohnsonBirdGilmoreHayesGoodrichWest14833222222111111111111111
NAMEGPTD3MPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBASTSTLBLKTOVPF+/-
LeBron JamesLeBron James1051434.526.07.88.11.20.73.89.819.151.12.46.736.44.15.771.53,6232,73481885312871394182+520
Jason KiddJason Kidd378832.68.25.07.21.80.42.02.87.139.41.74.537.90.91.083.212,3073,0931,9042,717672145762670+1049
Pau GasolPau Gasol243325.111.88.43.00.41.31.54.59.547.40.51.342.22.23.075.56,0912,8722,05073495310369408+248
Paul PiercePaul Pierce318325.512.04.32.40.80.31.74.09.243.11.54.036.62.63.279.98,0953,8061,363773253107533729+443
Kobe BryantKobe Bryant107230.418.94.43.91.10.22.76.517.736.61.86.228.54.25.182.13,2472,02647241911621291189-898
Mark JacksonMark Jackson298224.26.33.06.10.80.01.82.45.741.70.71.934.60.91.177.77,2241,8708961,82322912549442-249
Karl MaloneKarl Malone415236.222.08.74.21.40.72.97.816.248.30.00.129.66.48.178.515,0239,1463,5921,7495722711,2131,128+1658
Oscar RobertsonOscar Robertson50235.211.63.86.40.14.39.843.93.03.586.21,758582192319496
Wilt ChamberlainWilt Chamberlain164214.018.95.68.268.32.86.046.42,2973,098
Bill RussellBill Russell2429.417.23.62.14.250.522541274
Kyle LowryKyle Lowry41134.714.44.67.80.90.42.94.811.442.52.36.834.42.42.983.21,4215911883203817119112+63
Chris PaulChris Paul112131.515.84.49.01.60.32.36.012.149.31.33.537.42.62.990.13,5331,7714961,01018130261259+505
Dwyane WadeDwyane Wade162125.213.94.03.80.90.62.25.412.343.70.82.531.12.33.272.24,0842,246654615153102363283-122
Matt BarnesMatt Barnes167127.08.95.22.30.90.61.53.18.039.01.54.533.01.21.579.54,5031,48387438514495250478-104
Tim DuncanTim Duncan339128.414.39.12.70.71.91.85.711.449.80.00.116.02.93.974.39,6344,8333,078929241639624639+1798
Gary PaytonGary Payton308129.89.93.14.51.00.11.53.98.644.90.62.130.11.52.174.19,1743,0569431,37629844467576+297
Vlade DivacVlade Divac128126.09.05.74.30.70.91.93.57.347.40.00.215.02.03.066.93,3261,15073054688120242341+494
Dikembe MutomboDikembe Mutombo436120.85.26.70.40.31.50.91.83.749.40.00.01.52.173.69,0862,2762,905159116643391922+617
Charles OakleyCharles Oakley314127.96.26.72.70.90.41.62.66.440.10.10.326.71.01.280.98,7531,9432,1108412861314981,007-61
Magic JohnsonMagic Johnson32129.914.65.76.90.80.43.24.39.246.60.71.837.95.46.385.6958468183220261310348
Larry BirdLarry Bird27136.618.29.67.31.00.82.87.015.645.01.43.440.72.83.092.698949226019726227551
Artis GilmoreArtis Gilmore305127.712.97.31.30.51.32.24.67.560.90.00.00.03.75.370.28,4493,9312,236404138404672928
Elvin HayesElvin Hayes307128.012.67.21.55.111.045.90.02.53.865.38,5863,8702,220449872
Gail GoodrichGail Goodrich74128.812.72.54.95.211.445.22.42.885.32,130938183359177
Jerry WestJerry West31131.220.33.76.67.516.744.75.36.483.396762911620681
StatMuse has game-level data for triple-doubles going back to the 1950-51 season.