Abstract: The present invention describes a method for the production of liquid biogas (LBG), said method comprising the following steps:—inflow of crude gas comprising mainly methane and carbon dioxide;—removal of trace elements like hydrogen sulphide, siloxanes and VOC's from the crude gas;—dehumidification;—particle purification; for the production of a treated biogas; separation of carbon dioxide from the treated biogas;—condensation of the treated biogas with a low content of carbon dioxide, for the production of LB G with a carbon dioxide content of maximum 100 ppm, preferably at or close to atmospheric pressure the LB G is lose to 100% pure methane with a carbon dioxide content of maximum 100 ppm, wherein the separation of carbon dioxide from the treated biogas involves freezing carbon dioxide in the treated biogas.