| New moon | May 7, 2168 | |
| Waxing crescent | from May 8, 2168 to May 13, 2168 | |
| Moon first quarter | May 14, 2168 | |
| Growing moon | from May 15, 2168 to May 20, 2168 | |
| Full moon | May 21, 2168 | |
| Waning moon | from May 22, 2168 to May 28, 2168 | |
| Moon third quarter | May 29, 2168 | |
| Waning crescent | from May 30, 2168 to Jun 4, 2168 |
| New moon | Jun 5, 2168 | |
| Waxing crescent | from Jun 6, 2168 to Jun 11, 2168 | |
| Moon first quarter | Jun 12, 2168 | |
| Growing moon | from Jun 13, 2168 to Jun 19, 2168 | |
| Full moon | Jun 20, 2168 | |
| Waning moon | from Jun 21, 2168 to Jun 27, 2168 | |
| Moon third quarter | Jun 28, 2168 | |
| Waning crescent | from Jun 29, 2168 to Jul 4, 2168 |