Father Jonathan Brown needed special permission - known as a “dispensation” - from Pope Benedict XVI to be exempted from the traditional vow of celibacy.
And there is nothing to stop him from having more children if he wishes.
Only if Fr Jonathan outlives his wife will he have to follow the strict rule of celibacy to which all Catholic priests are bound.
Although it is not unusual for former Anglican ministers to convert to Catholicism and become ordained priests only a handful in the whole country are married and with a young family.
Fr Jonathan was ordained by the Archbishop of Liverpool, the Most Rev Patrick Kelly, at Christ the King Church, Wavertree.
The ceremony was witnessed by Fr Jonathan’s parents, his wife Kara and their two children, Rosey and Matthias.
Fr Jonathan said: “Being the first married priest in Liverpool is special because I’m first but it’s pure historical coincidence. My clerical celibacy is deferred as I’m a happily married man. But I can’t re-marry in the event of my wife’s death. Until that point my life remains as normal. We will live as a Catholic family and theoretically I can have more children.”