Since 2000, the Green Bay Packers had the most passing touchdowns by a team, with 656 touchdowns.

most passing tds by a team between 2000 to 2020
PackersSaintsColtsPatriotsChargersEaglesSteelersSeahawksCowboysBroncosFalconsChiefsGiantsBuccaneersVikingsLionsBengalsRamsCardinals49ersTitansRaidersRavens656644613606562532525524519517495492491491482479468451445443442438432
TEAMGPTDCMPATTPCTYDSAVGYDS/GTD%INTINT%SCKSCKYRATE
Green Bay PackersGreen Bay Packers3366567,57111,94063.488,0857.4262.25.52692.37194,86194.6
New Orleans SaintsNew Orleans Saints3366448,17012,44265.793,5547.5278.45.23012.46124,00995.3
Indianapolis ColtsIndianapolis Colts3366137,66212,10763.388,4577.3263.35.12962.45523,51292.0
New England PatriotsNew England Patriots3366067,53811,87463.587,3827.4260.15.12281.96604,03694.7
Los Angeles ChargersLos Angeles Chargers3365627,21811,43763.185,2197.5253.64.93172.86684,22290.6
Philadelphia EaglesPhiladelphia Eagles3365327,28312,04460.584,5317.0251.64.42982.58365,21186.1
Pittsburgh SteelersPittsburgh Steelers3365256,99011,14162.783,0267.5247.14.73142.87594,89989.4
Seattle SeahawksSeattle Seahawks3365246,63810,71861.977,4697.2230.64.92802.68765,48389.2
Dallas CowboysDallas Cowboys3365196,96311,12562.681,6367.3243.04.73333.07604,92487.9
Denver BroncosDenver Broncos3365177,04411,51561.282,3627.2245.14.53252.86684,31986.1
Atlanta FalconsAtlanta Falcons3364957,11311,45362.182,3017.2244.94.32942.68015,08587.5
Kansas City ChiefsKansas City Chiefs3364926,89311,12162.081,0607.3241.34.42632.47484,50689.0
New York GiantsNew York Giants3364917,07211,77260.181,4626.9242.44.23382.96824,59082.9
Tampa Bay BuccaneersTampa Bay Buccaneers3364917,02411,58660.680,9157.0240.84.23513.07674,79783.2
Minnesota VikingsMinnesota Vikings3364826,93610,88563.778,4707.2233.54.43082.88605,22388.2
Detroit LionsDetroit Lions3364797,39712,37959.883,2896.7247.93.93733.08445,36180.3
Cincinnati BengalsCincinnati Bengals3364686,93411,40160.876,5196.7227.74.13302.97364,78682.4
Los Angeles RamsLos Angeles Rams3364517,28411,81561.783,7127.1249.13.83643.18375,76582.9
Arizona CardinalsArizona Cardinals3364457,13212,01559.481,4306.8242.43.73833.28285,68578.9
San Francisco 49ersSan Francisco 49ers3364436,40610,61060.473,9557.0220.14.22882.78725,46384.0
Tennessee TitansTennessee Titans3364426,41010,56760.774,7907.1222.64.22992.86994,52584.3
Las Vegas RaidersLas Vegas Raiders3364386,84011,36260.277,6726.8231.23.93072.77624,72082.3
Baltimore RavensBaltimore Ravens3364326,70111,09860.472,9956.6217.23.93032.77224,83881.4
Chicago BearsChicago Bears3364266,61011,06459.772,0316.5214.43.93593.28025,18778.3
Washington Football TeamWashington Football Team3364256,82111,19960.977,6346.9231.13.83092.88085,68882.9
Carolina PanthersCarolina Panthers3364236,38210,79959.174,6726.9222.23.93493.27865,62879.7
Jacksonville JaguarsJacksonville Jaguars3364236,67011,20159.574,7906.7222.63.82932.68995,49681.2
Miami DolphinsMiami Dolphins3364226,71311,12160.474,7666.7222.53.83433.18155,49380.2
Buffalo BillsBuffalo Bills3364156,40910,66560.172,1266.8214.73.93203.08655,48680.8
Houston TexansHouston Texans3044096,2409,99062.571,9067.2236.54.12752.87955,05986.3
New York JetsNew York Jets3363916,32810,66359.370,9456.7211.13.73623.47784,91977.3
Cleveland BrownsCleveland Browns3363846,44011,09558.072,3836.5215.43.53863.58455,54074.7
StatMuse has team, season-level data for passing touchdowns going back to the 1921 season.

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