Migration of metadata and storage management of data in a first storage environment to a second storage environment

Provided are a computer program product, method, and system for migration of metadata and storage management of data in a first storage environment to a second storage environment. A migration request is processed to migrate metadata and storage management of data in a first storage environment to a second storage environment, wherein the first storage environment has a first storage server, a first storage media, and first metadata describing first data objects stored in the first storage media, and wherein the second storage environment has a second storage server, a second storage media, and second metadata for second data objects stored in the second storage media. The first metadata is copied to the second storage environment to incorporate with the second metadata. The first metadata incorporated into the second metadata is modified to indicate first server information used by the second server to communicate with the first server to access the migrated data from the first storage media. The migration request is completed in response to incorporating the first metadata into the second metadata, wherein the first data objects remain in the first storage media after completing the migration request.