The Scotsman was appointed to the Reds' board of directors last weekend following his dismissal as manager last year.
"I am delighted to welcome Kenny Dalglish back to Anfield," Henry told the club's official website. "Kenny is a towering figure in the history of Liverpool Football Club. Along with Bill Shankly, he embodies what the club stands for.
"We are building for the future. From the dressing room to the boardroom, we are creating a structure that will take Liverpool back to the top.
"It is not an easy task. Kenny brings the sort of intelligence, experience and knowledge that will help us reach our goals."
Liverpool are currently second in the Premier League table, level on points with leaders Arsenal.