The Roten president has vowed that his side will not rest on their laurels after their Bundesliga triumph was confirmed on Saturday
The Bavarians travel to Juventus for the second leg of their Champions League quarter-final on Wednesday and have a DFB-Pokal semi-final with Wolfsburg next week, and the 61-year-old has set his sights on the treble.
"We'll have to try to win everything now," the 61-year-old told Bild.
"However, even if that won't be the case, we won't say winning the [German] championship is nothing.
"A 20-point advantage [over second-placed Borussia Dortmund] and all those records, that's an outstanding feat from the team and the coach.
"We're playing a fantastic season. But in order to say that, we'll have to grab the Champions League title as well."
Bayern could face a potential Champions League semi-final with Dortmund but Hoeness was quick to emphasise that both teams have tough last-eight ties to get through before.
"Dortmund lack the depth to play successfully in three competitions. I'm superstitious, firstly, we both have to proceed," he added.
"For Dortmund, it won't be easy after the 0-0 at Malaga and we expect an all-out attack from the Italians in Turin. Ask me again next Thursday."
Dortmund host Malaga on Tuesday, with Bayern travelling to Turin the next day.