That move came over the weekend in the wake of a sex and drugs scandal that forced the resignation of the Rev. Ted Haggard as the NAE's leader.
Anderson, 62, is a well-known pastor, author, seminary lecturer, and missions leader.
Anderson headed the national Evangelical group from 2001 to 2003, when Haggard took over.
A 15-member Executive Committee of the NAE made the selection during a conference call Friday night. After consultation with his church elders and his wife, Charleen, Anderson agreed to serve for an indefinite period in order to give the NAE time find a new president. The committee also accepted the resignation of Haggard, who served from 2003 to 2006.