The name Junius is a boy's name of Latin origin meaning "born in June". Junius and is often added to lists like Ancient Roman Names for Boys and discussed in our forums with posts like "Makeover name game: from one gender to the other".
From the experts:
Junius is one of those names that's growing on us, along with many of its Roman countrymen such as Julius and Atticus. We once thought it was a combination of the least attractive elements of Junior and Julius but now we think...well, we think it's okay. Not great, but okay.