The bride wore a 1930s-inspired beaded gown by Les Habitudes at the Friday night nuptials at the Saddlepeak Lodge before family and friends. The couple's rings were designed by Philip Press.
"We are thrilled to be surrounded by our family for this very special day and appreciate their love and support as we begin our married life together," the couple tell PEOPLE exclusively.
The guests also included Alison's mother Maggie; her jazz musician brother Kyle Eastwood; actor brother Scott Eastwood of Trouble with the Curve; sister Kathryn Eastwood; Clint's wife Dina Eastwood and Poitras's brothers Mark, Matt and Bobby.
Afterwards, the guests dined on a menu that included salmon and elk, with a vegetarian meal for the bride.
Poitras, who stars on the cult hit CMT show as the leader of a band of artists who make sculptures with chainsaws, met the actress five years ago when she rode her horse to his studio at the Rustic Canyon General Store and Grill in Agoura, Calif.
Two years later, he decided to propose – but not before asking her father for his blessing.
"He looked at me for four or five seconds, which felt like 15 minutes, and then he said, 'You're going to have to take that up with her,'" Poistras recalls in the March/April issue of Westlake Magazine. "I said, 'Is that a yes or a no?' And he said, 'That's a yes," and he shook my hand."
Alison then also promptly said yes. They announced their engagement in 2012.
"He's my best friend," she tells Westlake Magazine. "He's the first man who has been the closest person to me."
Eastwood, 40, who is also a producer and director, recently appeared in the documentary American Mustang and the National Geographic Wild's show Animal Intervention, which helps owners of exotic animals find appropriate homes for the animals.
She also launched the Eastwood Ranch Foundation, a charity dedicated to raising funds and awareness for animals in need.