The 73-year-old actor tied the knot with Ozell, his girlfriend of over five years on September 8, reported Us Weekly.
Stewart, who plays Professor Charles Xavier in the "X-Men" series, tweeted a funny picture of him and Ozell in a colourful ball pit on Twitter and wrote, "Yes, Married."
The "X Men: Days of Future Past" actor was previously married to Sheila Falconer with whom he has two children Daniel and Sophia. The couple split in 1990 after 24 years of marriage.