The 39-year-old violinist, whose first husband Detlef Wunderlich died of cancer in 1995, is to move to Munich in the south of Germany with the 73-year-old.
The two were married last Thursday.
Mutter and Previn have performed extensively together in the last 12 months.
Career
In March this year, Mutter premiered the Previn Violin Concerto, which the composer wrote for the violinist.
Mutter was also part of the London Symphony Orchestra Previn directed in June and July.
Born in Germany, Mutter began her career in 1977 under direction of the then head of Berlin's Philharmonic Orchestra, Herbert von Karajan, before travelling widely in Europe and North America.
Previn conducted his first opera, A Streetcar Named Desire, in 1998 and has received numerous honours, including Germany's Commander's Cross of the Order of Merit and a Grammy Award for best chamber music recording.
He was knighted by Queen Elizabeth II in 1996.