NBC News has acquired full control of msnbc.com and its digital network from Microsoft Corp. and is immediately rebranding the site as NBCNews.com.

Many details of the arrangement remain to be worked out, and financial terms weren’t disclosed.

But NBC News President Steve Capus said the site — one of the news industry’s earliest and most successful online operations — would become part of NBC News Digital, a new division led by Vivian Schiller, the former president and chief executive of National Public Radio. Schiller joined NBC News as chief digital officer last year.

“Some really talented journalists have passed through the doorway of msnbc.com and taken us to the point where we have something that is an outstanding set of properties, and we value them to such a degree that we decided that we wanted to own them outright,” she said.

In the short term, msnbc.com will reflect the homepage of NBCNews.com. Eventually, it will become the address of MSNBC TV, giving MSNBC TV its own dedicated address and ending an arrangement under which the news site shared the MSNBC name with an increasingly commentary-driven channel.

Charlie Tillinghast, the site’s president and publisher, said NBC News would benefit from “proper brand alignment between the TV properties and their Web counterparts — NBC News and NBCNews.com, MSNBC cable and msnbc.com and TODAY show and TODAY.com.”