This is how I used to play it on acoustic guitar. I hope this helps! A D A When you're weary, feeling small, D G D A D A When tears are in your eyes, I'll dry them all. E F#m E A I'm on your side, oh, when times get rough, A7 D B E And friends just can't be found, A7 D A F#7 Like a bridge over troubled water, D C#7 F#m I will lay me down, A7 D A F#7 Like a bridge over troubled water, D E7 A I will lay me down.
Here's the one I found... its exactly what's played in the simon and garfunkel recording: http://www.guitaretab.com/s/simon-and-garfunkel/17252.html
That's a pretty good chord chart. The last chord in the list is misnamed, but I don't see it in the chart anyway. And I find it strange to go to the trouble of posting a chord chart and get the song title wrong, but this isn't Jeopardy.