Paul Simon's gonna need a bridge ... 'cause he's in some troubled water -- after getting arrested for disorderly conduct following an incident with his wife in Connecticut this weekend.
72-year-old Simon and his wife, 48-year-old Edie Brickell -- from the band New Bohemians -- were both taken into custody and charged with disorderly conduct after a heated domestic dispute.
Cops were called to the couple's house around 8 pm that night.
It's unclear why the two were fighting.
FYI -- Simon and Edie have been married for 22 years and have 3 kids together.
2:45 P.M. PDT -- The Simons' attorney just gave us this statement from Edie, "I got my feelings hurt and I picked a fight with my husband. The police called it disorderly. Thank God it's orderly now."11:12 A.M. PDT -- Paul left court a short time ago, insisting he and his wife still love each other. Edie left from a different exit several minutes earlier ... and didn't say a word.