There are two notable Anthony Jones who played in the NBA:

Anthony Hamilton Jones (born 1962): This Anthony Jones was a 6'6" swingman who played collegiately at Georgetown and UNLV.

Drafted by the Washington Bullets (now Wizards) with the 21st pick in the 1986 NBA draft.

Played for four NBA teams in his career: Washington Bullets, Chicago Bulls, San Antonio Spurs, and Dallas Mavericks.

Interesting fact: Despite being drafted in the first round, his NBA career wasn't very long, lasting only four seasons. However, he achieved some success in college, ranking #31 on the Las Vegas Review Journal's all-time UNLV players list in 2010 [an achievement you might find interesting].

There is also another Anthony Jones listed who played professionally but most recently played for Basket Brno in the Czech Republic league. Since your question was about the NBA, it's likely you were interested in the Anthony Jones who played in the 1980s and 1990s.