Devonta Freeman rushed for 139 yards and three touchdowns as the Falcons broke the team record for points in a season while handing the San Francisco 49ers a 13th straight loss with 41-13 victory on Sunday.
Atlanta (9-5) is up to 469 points with two regular-season games to go, bettering the 442 points set in 1998 when the team made its lone trip to the Super Bowl.
"When we play as a unit, I feel like we're unstoppable," Freeman said.
Freeman, who carried 20 times, had a 34-yard touchdown run in the third quarter after scoring from 5- and 9-yards out in the first half. The three scores boosted his season total to 12 touchdowns.
The Falcons finished with 29 first downs and 550 total yards, including 248 on the ground, against the 49ers (1-13).
"I think Matt is one of the top quarterbacks in this league ... and obviously, I thought their running back was outstanding," San Francisco coach Chip Kelly said. "It's a really good offensive football team. ... I think it's a team that is going to make some hay in the playoffs."
Reserve wide receiver Aldrick Robinson had 111 yards receiving on four catches, two termed "awesome" by Ryan, as nine Falcons caught passes in the absence of Jones, sidelined by a sprained toe.
"We'd love to have Julio out there. Everybody knows that," Robinson said. "But if we don't have him we all have to go out there and get it done to help us win."
Jones could be ready to go as early as next weekend at Carolina.
"Trust me, whenever he's ready to go, he'll help us," Ryan said.
The Falcons, who defeated Los Angeles 42-14 last week, registered 319 yards while taking a 28-13 halftime lead. Only a fumble by Freeman at the 1-yard line in the second quarter kept Atlanta from five touchdowns in as many possessions.
Atlanta led 21-0 after the first quarter, just like it had against the Rams. Freeman scored on a 5-yard run and Ryan then threw 9-yard TD passes to Taylor Gabriel and Austin Hooper.
Freeman's second touchdown, from 9 yards out, came between second-quarter touchdowns passes by San Francisco quarterback Colin Kaepernick of 16 yards to Garrett Celek and 5 yards to Rod Streater. Phil Dawson's missed PAT attempt after the 49ers touchdown just before halftime made it a 28-13 gap at the break.
Ryan completed 12 of 14 passes for 192 yards in the first half, compiling a 158.3 quarterback rating, and Freeman gained 77 yards on 11 carries.
Freeman's 34-yard touchdown run in the third quarter followed a 50-yard field goal by Matt Bryant and left no double about the outcome. Bryant added a 41-yard kick in the fourth quarter.
Kaepernick completed 20 of 33 for 183 yards and the two 49ers touchdowns.
"I think the big thing for us offensively right now is that the drops are killing us," Kelly said. "There were times it put it right there and we dropped the football."
Falcons rookie LB De'Vondre Campbell suffered a head injury in the second quarter and was ruled out for the rest of the game with a concussion.
The 49ers, already without LT Joe Staley (hamstring) and WR Torrey Smith (concussion), lost LB Nick Bellore (elbow), WR Quinton Patton (foot), CB Jimmie Ward (shoulder), TE Blake Bell (ankle) and C Marcus Martin (ankle) during the game.
49ers LB Gerald Hodges didn't play because of a violation of team rules.
WR Julio Jones (toe) missed his second straight game for the Falcons, but WR Mohamed Sanu (groin) returned after sitting out last week.
TE Austin Hooper (knee) was hurt in the second half.
It was the 49ers' first trip to Atlanta since rallying from a 17-0 deficit in the 2012 NFC Championship Game and then holding on for a 28-24 victory to reach Super Bowl XLVII.
The 49ers won regular-season games over Atlanta at San Francisco in 2013 and 2015.
The Falcons wore throwback black jerseys and black helmets for the second time this season.