The 30-year-old has signed a three-year deal with the Seagulls having moved from the German second-tier side for an undisclosed fee.
Brighton boss Chris Hughton told the club's website: "Markus is someone we have been aware of for some time, and I am pleased we have managed to complete the transfer at this stage.
"He has a great level of experience internationally, and in the top divisions in both his native Austria and Germany, where he has played the last two seasons with Ingolstadt, and that experience will serve us well.
"He will add competition at the back on the left side of defence, and I'm now looking forward to working with him."
Former Austria Vienna defender Suttner scored four goals in 31 Bundesliga appearances as Ingolstadt were relegated last season and he was an unused member of Austria's Euro 2016 squad.
Source : PA
Source: PA