The France winger was making his first competitive appearance of the year, having recently been sidelined with a muscular problem, but looked as if he had never been away as he fired home a low shot just before half-time to put Bayern two ahead.
Mario Gotze set the European champions on their way to an 11th successive league win when he took a fine pass from Dante on his chest and unleashed a fine volley into the bottom-left corner of the net in the 12th minute.
Ribery then got in on the act as struggling Frankfurt failed to cope with Bayern's attacking prowess.
Gotze hit the post and Ribery was denied by the crossbar early in the second half, but Arjen Robben struck just two minutes after coming on with a clinical finish to increase Bayern's lead.
In Sunday's other Bundesliga game, Josip Drmic scored twice for the second game in a row as resurgent Nuremberg secured a surprise 3-1 win at Hertha Berlin to climb out of the bottom three.
Drmic helped himself to a brace when Gertjan Verbeek's side claimed their first Bundesliga win of the season with a 4-0 thrashing of Hoffenheim last weekend.
