Forest reached the semi-finals of the play-offs last season before losing to Sheffield United and fans obviously expect them to gain a top six spot again.
Forest Chief Executive Mark Arthur told the club's official site: "The response of our supporters has been magnificent.
"The fact that we have sold more than 15,000 season tickets underlines just how much optimism there is among our fans following our success in reaching the play-offs last season."
The last time Forest had similar statistics was in 1995 following the Red's third place finish in the Premiership under Frank Clark.