There is provided a method of decellularizing adipose tissue comprising the steps of: a) Laminating the adipose tissue;b) Treating the adipose tissue resulting from step a) with a lipoprotein lipase at 32-42 degrees Celsius and at a concentration of 10-55u/100mg; and c) Treating the adipose tissue resulting from step b) with a nuclease, at 32-42 degrees celsius and at a concentration of 709-1433u/mg; for the necessary period of time for the adipose tissue to have a total of DNA content equal to or less than 50 ng/mg. There is also provided the decellularized adipose tissue obtainable by the method, further products comprising the decelluarized tissue such as coatings and scaffolds, and its uses in tissue engineering and regenerative therapy.