The talk is devoted to the problems of constructing and classification of isometric embeddings for spherically symmetric black holes. We consider the properties of various black hole metrics (Schwarzchild, Kottler, Reissner-Nordstrom, Reissner-Nordstrom-(A)dS) determining the possibility of construction of global embedding in an ambient space with minimal dimension, and the type of such an embedding. Embeddings are classified by the realization type of the metric symmetry under translation of t.