Antonio Williams and Wes Hills are tied for the most career touchdowns per game played by a running back, with 2.

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which runningback has the most career touchdowns per game
WilliamsHillsBlountBrownTaylorAlexanderDudekScottJuzwikMcBrideKamaraTomlinsonVan BurenAlexanderPattersonGurleyFosterDavisHolmesSayersWilliamsMcCaffreySims221.51.071.04111110.970.950.930.910.90.90.850.830.830.820.820.810.79
NAMEGPTD/GPTDRUSH TDREC TDRET TDFGMXPMXP2SFTYPTSPPG
Antonio WilliamsAntonio Williams12220000001212.0
Wes HillsWes Hills12220000001212.0
Alvin BlountAlvin Blount21.53300000189.0
Jim BrownJim Brown1181.071261062000007566.4
Jonathan TaylorJonathan Taylor271.0428253000001686.2
Vincent AlexanderVincent Alexander11110000066.0
Joe DudekJoe Dudek212200000126.0
Ronald ScottRonald Scott313300000186.0
Steve JuzwikSteve Juzwik212200030157.5
Charlie McBrideCharlie McBride1110100066.0
Alvin KamaraAlvin Kamara680.97664619100404045.9
LaDainian TomlinsonLaDainian Tomlinson1700.9516214517000009725.7
Steve Van BurenSteve Van Buren830.937769350204645.6
Shaun AlexanderShaun Alexander1230.9111210012000006725.5
Cordarrelle PattersonCordarrelle Patterson100.994500000545.4
Todd GurleyTodd Gurley880.9796712000404825.5
Arian FosterArian Foster800.85685414000104105.1
Terrell DavisTerrell Davis780.8365605000303965.1
Priest HolmesPriest Holmes1130.8394868000105665.0
Gale SayersGale Sayers680.825639980003364.9
Karlos WilliamsKarlos Williams110.8297200000544.9
Christian McCaffreyChristian McCaffrey580.81473017000102844.9
David SimsDavid Sims290.792319400001384.8
Ezekiel ElliottEzekiel Elliott820.79655411000303964.8
Derrick HenryDerrick Henry860.7968653000204124.8
StatMuse has season-level data for touchdowns going back to the 1921 season.