The National Civil Rights Museum in Memphis, Tenn. was built around, and includes, the Lorraine Hotel. That's where King was staying when he was assassinated in 1968.
Visitors had been able to see the balcony where King was shot but couldn't stand on it. Museum officials hope to open the balcony Nov. 19.
The boardinghouse from which James Earl Ray shot at King will also be opened.
The Associated Press contributed to this report.