Xbox Live director of programming Larry Hryb announced the new promotion Thursday, which he said will be available at "select retailers" for the system's standard price of $499.
Next week will also mark the launch of Titanfall and an Xbox One package bundled with the multiplayer shooter.
Xbox One launched with a since-discounted FIFA 14 bundle in Europe, but the two packages arriving next week are the first official Xbox One bundles released in the US.
In our Forza Motorsport 5 review, we found that "Turn 10's next-gen racer looks remarkable but doesn't handle as well as Forza 4." New cars and tracks are still being added to the launch title through regular Forza 5 DLC packs.