Durham, a model, gave birth in a Los Angeles hospital on March 22, Durham's manager Liz Dagostino said.
"Rhea's very happy," said Dagostino, who did not provide further details.
Wahlberg and Durham also have a 2-year-old daughter.
Wahlberg, 34, co-stars alongside Jack Nicholson, Leonardo DiCaprio and Matt Damon in Martin Scorsese's upcoming film "The Departed."
His other films include "The Italian Job" and "Four Brothers."