The calculated distance (air line) between Saint-Dié-des-Vosges and Metz is approximately 68 miles respectively 109 kilometers.
By car or train, the actual journey to Metz is certainly longer, as only the direct route (as the crow flies) between Saint-Dié-des-Vosges and Metz has been calculated here.
Air line (approximately)
109 kilometers
59 nautical miles