| Year | Title 'A' / Title 'B' | Album | Chart positions |
|---|
US Hot 100
[19] | US AC
[20] | AUS
[2] | IRE
[21] | NZ
[2] [22] | SA
[23] | UK
[24] | CAN
[25] | CAN AC |
|---|
| 1959 | "Beat Love" /
"Dream Alone" | Non-album singles, released under the name Artie Garr | – | – | – | – | – | – | – | – | – |
| 1961 | "Forgive Me" /
"Private World" | — | – | – | – | – | – | – | – | – |
| 1973 | "All I Know" /
"Mary Was an Only Child" | Angel Clare | 9 | 1 | 36 | – | 17 | – | – | 7 | 1 |
"I Shall Sing" /
"Feuilles-Oh/Do Space Men Pass Dead Souls on Their Way to the Moon?" | 38 | 4 | 84 | – | 16 | 8 | 51 [A] | 12 | – |
| 1974 | "Traveling Boy" /
"Old Man" | — | 30 | – | – | – | – | 54 [A] | 65 | – |
"Second Avenue" /
"Woyaya" | Single only | 34 | 6 | 89 | – | – | – | – | 39 | – |
| 1975 | "I Only Have Eyes for You" /
"Looking for the Right One" | Breakaway | 18 | 1 | 28 | 2 | - | 11 | 1 | 8 | 1 |
"My Little Town" (With Paul Simon) /
"Rag Doll" | 9 | 1 | 46 | – | 24 | – | – | 2 | 9 |
"Break Away" /
"Disney Girls" | 39 | 1 | – | – | – | – | 58 [A] | 28 | 2 |
| "I Believe (When I Fall in Love It Will Be Forever)" / "Same Old Tears on a New Background" | – | – | – | – | – | – | 57 [A] | – | – |
| 1976 | "Woyaya" /
"Down in the Willow Garden" | Angel Clare | – | - | – | – | – | – | – | – | – |
| 1977 | "Crying in My Sleep" /
"Mr. Shuck 'N' Jive" | Watermark | – | 25 | – | – | – | – | – | – | 95 |
| 1978 | "Wonderful World" (With Paul Simon and James Taylor) /
"Wooden Planes" | 17 | 1 | 47 | – | – | – | – | 13 | – |
"Marionette" /
"Someone Else" | – | – | – | – | – | – | – | – | 18 |
| 1979 | "In a Little While (I'll Be On My Way)" /
"And I Know" | Fate for Breakfast | – | 12 | – | – | – | – | – | – | – |
"Since I Don't Have You" /
"When Someone Doesn't Want You" | 53 | 5 | – | – | – | – | 48 | 38 | – |
"Bright Eyes" /
"When Someone Doesn't Want You" | – | 29 | 2 | 1 | – | 15 | 1 | – | – |
| 1981 | "A Heart in New York" /
"Is This Love" | Scissors Cut | 66 | 10 | – | – | – | – | – | – | – |
"Scissors Cut" /
"In Cars" | – | – | – | – | – | – | – | – | – |
"Hang On In" /
"Up in the World" | – | – | – | – | – | – | – | – | – |
"The Romance" /
"Bright Eyes" | – | – | – | – | – | – | – | – | – |
| 1984 | "Sometimes When I'm Dreaming" /
"The Decree" | The Art Garfunkel Album / The Animals' Christmas | – | - | 96 | – | – | – | 77 | – | – |
| 1986 | "The Decree" /
"Carol of the Birds" (with Amy Grant) | The Animals' Christmas | – | – | – | – | – | – | – | – | – |
| 1988 | "So Much in Love" /
"King of Tonga" | Lefty | – | 11 | – | – | – | – | – | – | – |
"When a Man Loves a Woman" /
"I Have a Love" | – | – | – | – | – | – | – | – | – |
"This Is the Moment" /
"Slow Breakup" | – | – | – | – | – | – | – | – | – |
| 1994 | "Crying in the Rain" (With James Taylor) | Up 'til Now | – | – | – | – | – | – | – | 61 | 25 |
| 1996 | "Grateful" (Live) /
"I Will" | Across America | – | – | – | – | – | – | – | – | – |
| 1997 | "Daydream" /
| Songs from a Parent to a Child | – | 34 | – | – | – | – | 17 | – | 9 |
| 2002 | "Bounce" /
| Everything Waits to be Noticed | – | 30 | – | – | – | – | – | – | – |
