The `Star Wars` creator recently popped the question to 43-year-old Mellody Hobson, after dating for seven years and his daughter Amanda took to Twitter to share her joy with the news.
Posting a link to an article about the engagement on the Huffington Post, she tweeted: "GeorgeLucas, Mellody Hobson Engaged: `Star Wars` Director, Businesswoman Set To Marry -.Congratulations Dad & Mellody!:) (sic)."
This will be the first marriage for Mellody, who is the president of Chicago-based investment management firm, Ariel Investments LLC and the second for George, whose union with Marcia Lucas lasted from 1969 to 1983.
Last year, George made the decision to sell Lucasfilm to Disney because he felt it was time to retire from the day-to-day running of the company and wants the `Star Wars` franchise - which comprises of six movies and spin-off cartoons - to continue after his death.
In a statement, he said: "For the past 35 years, one of my greatest pleasures has been to see `Star Wars` passed from one generation to the next.
"It`s now time for me to pass `Star Wars` on to a new generation of filmmakers. I`ve always believed that `Star Wars` could live beyond me, and I thought it was important to set up the transition during my lifetime."