Is Pope Francis Married?

Pope Francis is not and has never been married.

Pope Francis who was previously known as Jorge Mario Bergoglio before taking his papal name was never married. In fact, had he been, it is almost certain he would not have become pope. The Roman Catholic Church doesn't select priests from married men. There are exceptions from priests in Eastern rites or priests that are converts from other religions such as Anglicanism and Lutheranism.

It is said that Pope Francis had brief relationships with young ladies in his younger years. One came forth a couple of years ago named Amalia Damonte. From the looks of it, none of these relationships lasted very long and Pope Francis diligently prepared for the priesthood.

More info here.