At the end of the NBA's regular season.
In the 1967-68 season Wilt Chamberlain was the regular season MVP. However, that season there was no Finals MVP, since the NBA only started giving out that award in 1969.
Wes Unseld of the Baltimore Bullets was both MVP and Rookie of the Year of the 1968-69 NBA season.
Kobe Bryant was MVP during the 2007-2008 NBA Regular Season. He did not win any Finals MVP.
1 time NBA Regular Season MVP (2008)3 time NBA All Star Game MVP (2002, 2007 and 2009)
The MVP (Most Valuable Player) is an award handed out during the NBA playoffs. Many people around the league (analysts, commentators, etc.) are allowed to vote for who they believe is the NBA MVP for the regular season. This is different from the NBA Finals' MVP. As of the 2008-2009 season, LeBron James is the last winner of the MVP trophy.