| Cover | | Date
 | Title  Album | Points
 | US Peak | UK Peak | Comment |
|---|
| 1. | 11/1967 | | 157 | 4 US | 48 UK | [artist #3 hit] as The Union Gap featuring Gary Puckett |
| 2. | 03/1968 | | 292 | 2 US | ✫1 UK | [artist #1 hit] as The Union Gap featuring Gary Puckett |
| 3. | 06/1968 | | 250 | 2 US | 5 UK | [artist #2 hit] as Gary Puckett & The Union Gap |
|
| 4. | 09/1968 | | 118 | 7 US | | [artist #4 hit] as Gary Puckett & The Union Gap |
| 5. | 03/1969 | | 68 | 15 US | | as Gary Puckett & The Union Gap |
| 6. | 08/1969 | | 107 | 9 US | | [artist #5 hit] as Gary Puckett & The Union Gap |
| 7. | 03/1970 | | 18 | 41 US | | as Gary Puckett & The Union Gap |
| 8. | 10/1970 | | 11 | 61 US | | co-written by Burt Bacharach |
| 9. | 02/1971 | | 10 | 71 US | | |
| 10. | 06/1974 | | 74 | | 6 UK | as The Union Gap featuring Gary Puckett [R] |
| Top 100 hits | 9 | 4 | |
| Top 40 hits | 6 | 3 | |
| Top 10 hits | 5 | 3 | |
| ✫ #1 hits | | 1 | |
| US | UK | |