We examine the results concerning the completely regular semigroups given by O. Steinfeld
in [7], for ordered semigroups. The concept of completely regular semigroups is
generalized in ordered semigroups in two ways. The first one is the completely regular
ordered semigroups studied previously by the same author. The second is the strongly
regular ordered semigroups introduced in this paper. We have seen in [5] how we apply our
results on completely regular ordered semigroups to get the corresponding results on
semigroups -without order- given by O. Steinfeld in [7]. Here we show how we apply
the results on strongly regular ordered semigroups to get the same results of O.
Steinfeld.