Bob Marley sang it. http://www.oldielyrics.com/lyrics/bob_marley/dont_rock_the_boat.html

Hues Corporation Lyrics - Rock the Boat Lyrics Artist: Hues Corporation Lyrics Song: Rock the Boat Lyrics So I'd like to know where, you got the notion said I'd like to know where, you got the notion to rock the boat, don't rock the boat baby rock the boat, don't tip the boat over rock the boat, don't rock the boat baby rock the boat-t-t-t-t Ever since our voyage of love began your touch has thrilled me like the rush of the wind and your arms have held me safe from a rolling sea there's always been a quiet place to harbor you and me Our love is like a ship on the ocean we've been sailing with a cargo full of, love and devotion So I'd like to know where, you got the notion said I'd like to know where, you got the notion To rock the boat, don't rock the boat baby rock the boat, don't tip the boat over rock the boat, don't rock the boat baby rock the boat-t-t-t-t Up to now we sailed through every storm and I've always had your tender lips to keep me warm oh I need to have the strength that flows from you don't let me drift away my dear, when love can see me through Our love is like a ship ...

The lounge-o-leers sang the most popular version. If you mean, that, "Rock the boat, rock the boat baby, rock the boat, don't tip the boat over," song.

bob marley sang it!

Edit: I'll leave the stuff below but upon REREADING the question you did ask for DONT Rock the Boat...that MAY be Marley. (see commentary elsewhere with Skip who seems to know their stuff on Marley) http://artistdirect.com/cgi-bin/gx.cgi/AppLogic+Search?select=Songs&searchstr=don%27t+rock+the+boat&searchtype=NormalSearch&start=1 However...Artistdirect.com shows 33 different artist all having a song called Rock The Boat! http://artistdirect.com/cgi-bin/gx.cgi/AppLogic+Search?select=Songs&searchstr=rock+the+boat&submit.x=0&submit.y=0&searchtype=NormalSearch&start=1 Video fun:

The Group Midnight Star also sang a song called Don't Rock The Boat in the 80's. It was a dance song that a lot of the roller skating rinks also played. Don't Rock The Boat Let me tell you a story 'bout a girl and a guy The guy was too fresh, the girl was too fly They've been together for a very long time When they felt the sense of change in the state of their mind They had a true love, but they just didn't know How to talk to one another, so the feelings could show To each other they wouldn't devote Had to throw in that rope, had to rock that boat Don't rock that boat, baby If it ain't broke, don't fix it Just relax and let it flow You and I together Boy, we made a perfect pair Till we got those inner feelings And played those games of truth and dare No, I'm not one to regret But I know I did you wrong And it's so hard to forget How you loved me all night long I tried to understand my feelings Why I ever played on you In these days of danger I really should be true It ain't worth those silly chances To be a fool whenever I date From right now to forever Let's remember this simple phrase Don't rock that boat Don't rock that boat, baby If it ain't broke, don't fix it Just relax and let it flow Don't rock that boat Don't rock that boat, baby If it don't fit, don't force it Just chill out and let it flow Don't rock that boat Don't rock that boat, baby Don't do it, don't do it Don't do, don't-don't Foolishly I play the field To satisfy myself But the true satisfaction Comes from you and no one else Ooh, you don't have to worry 'Cause I feel the same way too And I'll never touch another Baby, I'm savin' my love for you We were lucky We found out in time Now that we know the truth Sugar, things will work out fine We will stay together And we'll never drift apart I knew just what to do To keep you in my heart Don't rock that boat Let me tell you a story 'bout a girl and a guy The guy was too fresh, the girl was too fly They've been together for a very long time When they felt the sense of change in the state of their mind They had a true love, but they just didn't know How to talk to one another, so the feelings could show To each other they wouldn't devote Had to throw in that rope, had to rock that boat The girl wanted love that was gigantic But love was drfitin' like the Titanic Not just knee deep, it was total knee deep When the fly girl had to for keys (Her bed) Who were rockin' those freaks ahoy She said to herself, "What's wrong with that boy?" To each other we should devote Please love each other, stop rockin' that boat Don't rock that boat, baby If it ain't broke, don't fix it Just relax and let it flow Don't rock that boat Don't rock that boat, baby If it don't fit, don't force it Just chill out and let it flow