The couple have been dating for seven years and are expecting their first child in three months time.
Paddy shared an image from their impossibly private wedding day and are believed to be honeymooning in Dubai.
The couple first met during their time at Trinity College Dublin.
Earlier this year, the pair, who became engaged in 2012, announced the pregnancy news on social media.
Faye enjoyed a successful modelling career and was previously signed to IMG Models and Ford Models and lived in Paris and New York, before returning to Dublin to settle down.
Faye comes from a large family of 14 children in Donegal and the pair are notoriously private when it comes to their private life.