Amy Winehouse's Death Anniversary -- Mom: Honor My Daughter With Booze & Cigs

Amy Winehouse's fans are marking the 3rd anniversary of her death by trashing her lawn with cigarettes and empty booze bottles ... and Amy's mom tells TMZ it's a fitting tribute.

Janis Winehouse says she's totally cool with the random drug and alcohol paraphernalia littering Amy's old house ... in addition to leaving posters, graffiti, candles and photos.

Hordes of people have visited the house at 30 Camden Square in London -- where Winehouse died of alcohol poisoning in 2011 -- leaving beer cans, empty bottles of Jack Daniels, Smirnoff and packs of smokes.

Janis -- who runs an anti-drug and alcohol foundation with Amy's dad -- says she's not upset by the homage ... in fact, it makes her happy that Amy's fans still care.