1981 (MCMLXXXI) was a common year starting on Thursday of the Gregorian calendar.
- January 2: Andy Gibb appears on The John Davidson Show
- January 6: Andy Gibb appears on The John Davidson Show and meets Victoria Principal
- January 10: Barry's son Travis Gibb is born
- February 15: Barry Gibb and Barbra Streisand win the "Best Performance by Pop Duo or Group" Grammy award for "Guilty"
- March 3: The single "Guilty" is certified gold in the US
- June 2: The Pirates of Penzance featuring Andy Gibb opens in Los Angeles
- June 19: Andy Gibb is interviewed on The Merv Griffin Show
- October: The Living Eyes album is released
- November 10: Living Eyes enters the Japanese charts