Cam Newton had the most rushing touchdowns by a quarterback in his first 5 seasons, with 43 touchdowns.

which qb has the most rushing td in their first 5 seasons
NewtonStewartGrahamCulpepperAllenPrescottKempGroganMcNairGarciaLujackJacksonVickCunninghamBradshawDouglassWatsonMcNabbMurrayLandryLuckDalton43272726252424232221211919181818171715151414
NAMEGPRUSH TDRUSH YDSATTRUSH AVGRUSH YDS/GREC YDSRECTRGREC AVGREC YDS/GREC TD
Cam NewtonCam Newton78433,2075995.441.1331133.00.40
Kordell StewartKordell Stewart80272,1133995.326.4130101613.01.61
Otto GrahamOtto Graham60275612382.49.4000.00
Daunte CulpepperDaunte Culpepper58261,9233425.633.20110.00.00
Josh AllenJosh Allen44251,5623005.235.5121212.00.31
Dak PrescottDak Prescott69241,3142595.119.0111211.00.21
Jack KempJack Kemp52246651703.912.8000.00
Steve GroganSteve Grogan73231,7382965.923.8000.00
Steve McNairSteve McNair56221,7772926.131.70000.00
Jeff GarciaJeff Garcia74211,5713184.921.26116.00.10
Johnny LujackJohnny Lujack45217421335.616.516116.00.40
Lamar JacksonLamar Jackson46192,9064826.063.20020.00
Michael VickMichael Vick58192,8204066.948.62112.00.00
Randall CunninghamRandall Cunningham65182,4953686.838.4-31-3.00.00
Terry BradshawTerry Bradshaw59181,1952115.720.3000.00
Bobby DouglassBobby Douglass53182,2073326.641.6000.00
Deshaun WatsonDeshaun Watson54171,6773075.531.16116.00.11
Donovan McNabbDonovan McNabb70172,2393496.432.0-847-2.0-0.10
Kyler MurrayKyler Murray32151,3632266.042.60000.00
Greg LandryGreg Landry54151,6862327.331.2000.00
Andrew LuckAndrew Luck70141,4422865.020.60000.00
Andy DaltonAndy Dalton77147662622.99.9181218.00.21
Jim ZornJim Zorn72141,1702265.216.3000.00
Russell WilsonRussell Wilson80132,6894835.633.6313310.30.41
Mark SanchezMark Sanchez71134291592.76.00000.00
StatMuse has season-level data for rushing touchdowns going back to the 1921 season.

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