The organisation’s president, Brent Simon, described Day as “the biggest female star of the 1960s”.
“Doris Day is still arguably the template to which Hollywood turns when trying to quantify and capture ‘girl next door’ appeal,” he added.
Day left the world of showbusiness more than 30 years ago to found the Doris Day Animal Foundation.
But she has continued to be recognised, receiving a Golden Globe for lifetime achievement in 1989 and an honorary Grammy in 2008.
In September, Day became the oldest artist to score a UK top 10 hit with an album featuring new material.
My Heart entered the chart at number nine, 62 years after the 87-year-old’s debut album was released in the US.