Methods of sterilizing a temperature sensitive material, such as an acidified or non-acidified food product, pharmaceutical product or cosmetic product, are disclosed. The methods comprise freezing the temperature sensitive material to an initial temperature of less than or equal to −2° C. and then either (i) pressurizing the frozen temperature sensitive material to a first elevated pressure of at least 250 MPa for a predetermined first period of time of at least 3 minutes or (ii) pressurizing the frozen temperature sensitive material to a first elevated pressure of at least 250 MPa for a predetermined first period of time of at least 90 seconds, releasing the first elevated pressure for a predetermined pause period of time and then pressurizing the temperature sensitive material to a second elevated pressure of at least 250 MPa for a predetermined second period of time of at least 90 seconds.