previous objective is achieved in accordance with this invention by producing a flexographic printer of the type consisting of a frame on which are mounted at least one rotating back pressure cylinder and at least one print head which consists of a cliche holder cylinder that can make contact with a band to be printed supported on the cited back pressure cylinder and an inking unit consisting of at least one inking cylinder that supplies ink to the cited clich u00e9 holder from a tank the rotation of the various is provided by suitable drive means generally electric motors the components of the flexographic print head can be moved closer to or farther away from the cited back pressure cylinder so that the machine is also fitted with the means of driving this movement the said components which is also usually provided by electric motors the printer of this invention is also the type that includes the means for drying or curing the film of ink deposited on the band to be printed and a surrounding casing the flexographic printer of this invention is characterised in that the cited surrounding casing in combination with interior dividing means delimits at least two sections through which at least one fluid circulates that is introduced at a temperature regulated by a means of impulsion and is sucked out by means of extraction with the cited sections being sufficiently closed to provide a specific atmosphere inside at an efficient controlled temperature in addition in one of the said sections those printer organs that produce a continuous degree of solvent vapour generation are concentrated such as the inking cylinders.