OK, I misspoke, Orthodox Priests can be married, and indeed, most Orthodox priests are. I know several since I have many Greek friends here in the city.
But an Orthodox priest can’t marry while a priest. If he wishes to have a family life, he must get hitched BEFORE he is ordained to the deaconate, the penultimate step before becoming a priest.
I bring this up because of the ongoing debate within Catholic circles—pushed energetically by the Church’s internal and external critics—about whether to revoke the rule requiring priest celibacy. The regulation was formally established at the Council of Trent in 1563 after centuries of controversy over the issue of priests and marriage.
Prior to Trent, the Catholic Church took the same approach to the question of priestly marriage as the Orthodox Church did (and does today). If the priestly celibacy were no longer required, the Catholic Church would likely return to its former practice.
Wikipedia, bless its heart, has a rather good article on the topic. You can see from that article that it was unambiguously the law in the West from the 4th Century.