In a statement, Sorenson, 60, noted the cancer was discovered early, has not spread and is highly treatable - and that he and his medical team "are confident that we can realistically aim for a complete cure."
"In the meantime, I intend to continue working at the company I love. We have great work underway at Marriott. I am as excited by what we can accomplish together as I have ever been."
Sorenson will remain in his role as active CEO while undergoing treatment. Surgery is anticipated near the end of the year.
Shares of Marriott were up 1.15% at $138.54 in early trading on the Nasdaq Stock Exchange on Friday. They ended the trading day Thursday down 1.4%, or $1.97, at $136.89.