Apparatus (100, 200, 300) for surface treatment of human and/or animal tissue by using dry ice particles, in particular for surface treatment of human and/or animal skin, comprising: - at least a first inlet port connected to a first source of pressurized liquid carbon dioxide for medical use, - at least a first agglomeration chamber (4, 4A, 4B), which is configured for making dry ice snow (5, 5A, 5B) by delivering pressurized liquid carbon dioxide into said agglomeration chamber (4, 4A, 4B) and expanding said pressurized liquid carbon dioxide within said agglomeration chamber (4, 4A, 4B), wherein the first agglomeration chamber (4, 4A, 4B) is fluid-connectable or fluid-connected to the first inlet port, - at least a first compressing device (6, 6') being configured for compressing the dry ice snow (5, 5A, 5B) made in the agglomeration chamber (4, 4A, 4B) at least partly into compressed dry ice (14, 14A, 14B), - at least a first shredding device (12, 12', 12") being configured for shredding the compressed dry ice (14, 14A, 14B) at least partly into dry ice particles, and - an outlet for discharging the dry ice particles, wherein the apparatus is configured for making dry ice particles for medical use, wherein the apparatus (100, 200, 300) is further configured for generating a medical particle jet comprising a medical carrier fluid and medical dry ice particles, wherein the apparatus (100, 200, 300) comprises a mixing device having a mixing chamber, wherein the mixing chamber in particular comprises a fluid inlet for the medical carrier fluid flow, a particle inlet for supply with medical dry ice particles, and a particle jet outlet for discharging the particle jet generated, characterized in that the apparatus further comprises an application device (31, 31', 50), wherein the application device (31, 31', 50) is fluid-connected to the particle jet outlet of the mixing device and comprises a first outlet for discharging a particle jet and in particular a carrier fluid flow and at least a second outlet for discharging at least a carrier fluid, and the apparatus being further configured for local cryotherapy treatment of human and/or animal tissue by direct application of medical carbon dioxide and/or medical nitrogen to the tissue, wherein the apparatus comprises at least one supply line (3, 45, 47, 53, 49) for direct fluid-connection from a source (1, 57, 48) of medical liquid carbon dioxide and/or medical liquid nitrogen to the application device (31, 31', 50). - at least a first inlet port connected to a first source of pressurized liquid carbon dioxide for medical use, - at least a first agglomeration chamber (4, 4A, 4B), which is configured for making dry ice snow (5, 5A, 5B) by delivering pressurized liquid carbon dioxide into said agglomeration chamber (4, 4A, 4B) and expanding said pressurized liquid carbon dioxide within said agglomeration chamber (4, 4A, 4B), wherein the first agglomeration chamber (4, 4A, 4B) is fluid-connectable or fluid-connected to the first inlet port, - at least a first compressing device (6, 6') being configured for compressing the dry ice snow (5, 5A, 5B) made in the agglomeration chamber (4, 4A, 4B) at least partly into compressed dry ice (14, 14A, 14B), - at least a first shredding device (12, 12', 12") being configured for shredding the compressed dry ice (14, 14A, 14B) at least partly into dry ice particles, and - an outlet for discharging the dry ice particles, wherein the apparatus is configured for making dry ice particles for medical use,