The couple have named their son Dax, and he is their first child.
"My lil [one] is gonna be here any day, minute, hour!" Lisa had tweeted on September 24. "So excited!"
Lisa, 31, got married to entrepreneur Adam in the Hollywood Hills in October 2012 while wearing a classic-looking San Patrick gown. "Today was wickedly magical!" she said at the time about the wedding.
Lisa initially came in sixth during Cycle 5 of ANTM, and she returned to win the All-Stars cycle in 2011. Lisa also appeared on Season 3 of Celebrity Rehab and has released several albums.