The 40-year-old British actor, who played detective Jimmy McNulty in the HBO drama, wed Catherine Fitzgerald at the Church of the Immaculate Conception in the grounds of Glin Castle after a three-year engagement.
West's Wire co-stars Wendell Pierce, Andre Royo, Sonja Sohn and Doug Olear were present at the ceremony.
West told the Irish Independent how he met Fitzgerald while studying at Trinity College in Dublin.
"I was studying English literature, Catherine was doing English and history.
"It was from 1991 to 1994 and well before my acting career. Myself and Catherine have a lot of shared history together."
The couple, who have three children together, were previously separated for many years.
"She dumped me. I was either too immature or too stupid to make our relationship work. She just told me, 'We are not right for each other'," West said.
"'I was devastated, but being a bloke I pretended that I wasn't hurt. I was, of course. She then married somebody else, which was really hard to take."
West rekindled his relationship with Fitzgerald after she divorced her first husband in 2002.