Matthew McConaughey and his girlfriend Camila Alves have revealed the name of their newborn son – Levi Alves.

The couple reportedly chose the first name because it's a Biblical variant of Matthew, and corresponds with the time the baby was born in Los Angeles on Monday.

The actor explains: "Levi was another name for the apostle Matthew in The Bible. They were, in fact, two names for the same person. Our son was born at 6:22 pm, and this particular time represents my favourite verse in the book of Matthew in The Bible: 'If thy eye be single, thy whole body will be full of light.'"

McConaughey adds he chose to add Alves as his son's middle name because, "we wanted to incorporate her family name."

In a statement, the thrilled dad has also offered a greeting for his newborn son: "We welcome Levi Alves McConaughey into this wonderful life and look forward to living in it with him. In the mean time and all times, just keep livin'."