"It is such a great loss to this community to lose an actress and person such as Natasha. Gifts like her don't come along very often," Swayze – who starred in "Waking Up in Reno" with the actress – said in a statement released to People.
"It's a rare thing in this industry to have someone with so much talent, beauty, and dedication and yet is imbued with such humility. I know for me and many other people, the world will be a different place without her," Swayze's statement continued.
"My heart goes out to Liam and his two boys, but I'm sure that Natasha's light is shining down on them," he said.
As previously reported on AccessHollywood.com, the actress died on after two days of hospitalization following a skiing accident in Quebec.
Friends, family and colleagues paid their last respects to Richardson at a funeral service in St. Peter's Episcopal Church in Millbrook, New York, on Sunday afternoon.
Richardson, a Tony Award winner for her Broadway work in "Cabaret" and a star of such films as "The Parent Trap" and "Nell," was 45.
Related Content from AccessHollywood.com:
PLAY IT NOW: A Farewell To Natasha Richardson
PLAY IT NOW: Friends, Family Gather For Natasha Richardson Memorial