We call a Markov partition of a two dimensional hyperbolic toral automorphism a Berg partition if it contains just two rectangles. We describe all Berg partitions for a given hyperbolic toral automorphism. In particular there are exactly (k+n+l+m)/2 nonequivalent Berg partitions with the same connectivity matrix (k,l,m,n). It is a joint work with Artur Siemaszko.