Horford provided 19 points and 11 rebounds while Teague contributed 17 points and 10 assists for the Hawks, who avenged a 105-103 loss to the Lakers last month.
Paul Millsap helped out with 18 points, nine rebounds and four steals.
Kyle Korver scored 11 points in the third period for Atlanta.
Nick Young put in 23 points and Jordan Hill converted 8-of-8 field goal tries en route to 21 and added nine rebounds for Los Angeles, which fell to 1-4 since Kobe Bryant's return from a torn Achilles.
Pau Gasol supplied a double-double of 16 points and 10 rebounds and Bryant was held to eight points for the Lakers.