The center, on its website Monday, invited visitors to share a captioned photo, an essay of 250 words or less or a video with inspirational narratives.
Bush, in a statement marking the 10th anniversary of the terrorist attacks, says the collection of memories shared online will be a permanent part of his center. The information will be integrated into what the site calls the "online museum experience."
Bush was president when the terrorist attacks happened on Sept. 11, 2011. He and his wife, Laura, both took part in weekend commemorative events of the tragedy.
The Bushes live in Dallas.