Catholic priests and the selection process.

You aren't likely to hear a great deal about married Roman Catholic priests, but they do exist. First there are the priests who are part of the Eastern Catholic Churches, also known as the Eastern Rite, who can be found in places like the Czech Republic, Hungary, Slovakia, the Ukraine, and other nations along the border between Western and Eastern Christianity. These churches are under the jurisdiction of the Vatican and they recognize the authority of the pope; however, their practices and traditions are much closer to those of the Eastern Orthodox Churches, and one of those traditions is allowing priests to marry.

They are Roman Catholic priests and many are married so many, in fact, that some estimates place their number at around 20% of all Roman Catholic priests in the world. This would mean that 20% of all Roman Catholic priests are officially and legally married, even though celibacy continues to be a requirement.