LeBron James has the most career triple-doubles in the playoffs when scoring 40+ points, with 3 triple-doubles.

most career triple doubles with 40 points in playoffs
Interpreted as:
most career triple doubles by a player with 40 or more points in playoffs
JamesRobertsonBookerButlerDoncicWestbrookDurantBarkleyWest321111111
NAMEGPTD3PTSMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINREBASTSTLBLKTOVPF+/-
LeBron JamesLeBron James2831,22344.143.710.07.61.90.93.316.028.256.82.76.243.79.012.372.81,23527921452259376+139
Oscar RobertsonOscar Robertson4216741.89.810.313.523.856.814.816.589.4394112
Devin BookerDevin Booker4116942.542.37.34.80.50.82.816.028.057.13.36.054.27.07.593.31702919231115+28
Jimmy ButlerJimmy Butler218040.740.07.57.52.01.54.013.520.067.51.01.0100.012.013.588.98115154381+27
Luka DoncicLuka Doncic5121742.043.49.611.81.40.26.616.029.454.44.810.446.26.69.470.22104859713312+6
Russell WestbrookRussell Westbrook7131244.844.69.07.72.10.64.316.335.446.03.09.631.39.010.784.031363541543026+58
Kevin DurantKevin Durant14160744.643.48.14.91.31.12.813.825.953.33.78.941.612.113.490.46241136918163941+54
Charles BarkleyCharles Barkley5123245.246.415.64.21.81.42.416.625.066.41.62.857.111.613.486.62267821971215
Jerry WestJerry West20187343.76.915.831.050.812.214.285.613861
StatMuse has game-level data for triple-doubles going back to the 1951 playoffs.