The impressive centre-back, who has been a steady presence in the Schanzer defence, signed a four-year deal at the Sinsheim side.
As to what the transfer fee is, neither Hoffenheim or Ingolstadt have confirmed how much the former paid for Hübner's services.
A super signing
Hübner began his career with SV Wehen Wiesbaden, where he was given regular game time since the 2008-09 season.
Just 19 at the time, he became a first-team regular and began to attract the interest of teams in the 2. Bundesliga.
He was snapped up by Ralph Hasenhüttl, who would make Hübner a staple of his future sides.
The centre-back quickly established him as a regular in VfR Aalen's side as they managed to preserve their second tier status while he was there.
But bigger things were calling for both player and coach, as Ingolstadt became their new home.
It was a match made in heaven as the Audi Sportpark outfit immediately and the club were promoted to the Bundesliga for the first-ever time; Hübner played a key role.
The same could also be said in the top division, as Ingolstadt cantered to safety. Now, he will try his hand with Hoffenheim.
Hübner has his say
Speaking to the club website on the move, Hübner said: "It is exciting to see what’s happening here under a young manager and I am looking forward to getting started."
Alexander Rosen also gave his thoughts, "He defends aggressively and high up the pitch – this fits very well with our playing style."
He added, "He is very strong in the air and, as a left-footed player, gives us more playmaking options."