A new and distinct cultivar of blueberry plant named BB05-251MI-14 as described and shown herein. BB05-251MI-14 is a new and distinct high chill tetraploid Northern highbush blueberry (Vaccinium) variety of ancestry based largely on V. corymbosum with a limited number of genes from V. angustifolium. It is a productive late season variety that ripens approximately at the same time as Liberty, and 21 days after Bluecrop. BB05-251MI-14 provides a very good yield potential, a very good plant vigor, fruit quality and firmness, as well as mechanical harvest potential, and very good flavor and texture.