Floyd Mayweather Jr. RELEASED from Jail

Floyd Mayweather Jr. is officially a free man -- the boxing champ was all smiles when he was released early Friday morning from a Vegas jail, where he served roughly 2 months of his 3-month sentence for domestic violence.

Floyd was sentenced to jail in December over a 2010 incident, when he beat up his baby mama in front of their kids -- but the judge allowed Floyd to turn himself in on June 1st, so he could fight Miguel Cotto on May 5th (Floyd won).

A spokesperson for the LVPD said Mayweather was being released early for good behavior behind bars.

Floyd was originally sentenced to 6 months in jail after pleading guilty to misdemeanor domestic violence -- but 3 months of that sentence was suspended.

Floyd also pled no contest to 2 misdemeanor harassment charges -- after allegedly threatening to beat his kids too during the incident.

In addition to the jail time, Floyd was ordered to complete 100 hours of community service and a 12-month domestic violence program. So far, he's completed roughly half of both.

Floyd's boy 50 Cent was among the group of people who came to pick Floyd up from jail ... and can be seen riding shotgun when Floyd drives away (see video below).