Since 2018, Derrick Henry has the most games with 3+ rushing touchdowns, with 5 games.

most 3 rushing touchdown games since 2018
Interpreted as:
most 3 or more rushing touchdown regular-season games by a player since 2018
HenryJonesKamaraGurleyGibsonCookWilsonPrescottJacobsScottDrakeColemanMichelEdmondsChubbIngramGordon52221111111111111
NAMEGPRUSH TDRUSH YDSATTRUSH AVGRUSH YDS/GREC YDSRECTRGREC AVGREC YDS/GREC TD
Derrick HenryDerrick Henry5169391406.7187.8628107.812.40
Aaron JonesAaron Jones27200326.3100.0757810.737.50
Alvin KamaraAlvin Kamara29289417.0144.5648148.032.00
Todd GurleyTodd Gurley26119412.959.567789.633.50
Antonio GibsonAntonio Gibson13115205.8115.021574.221.00
Dalvin CookDalvin Cook13163305.4163.0632331.563.01
Jeff WilsonJeff Wilson13112176.6112.08224.08.00
Dak PrescottDak Prescott131853.618.00000.00
Josh JacobsJosh Jacobs1393253.793.0464611.546.00
Boston ScottBoston Scott1354192.854.0844621.084.00
Kenyan DrakeKenyan Drake14137226.2137.09119.09.00
Tevin ColemanTevin Coleman13105119.5105.013226.513.01
Sony MichelSony Michel1342192.242.0-812-8.0-8.00
Chase EdmondsChase Edmonds13126274.7126.0242412.024.00
Nick ChubbNick Chubb13165208.3165.018346.018.00
Mark IngramMark Ingram13103166.4103.032448.032.00
Melvin GordonMelvin Gordon13132187.3132.018249.018.00
StatMuse has game-level data for rushing touchdowns going back to the 1960 season.

Try also: