The present invention relates to a process for the dehydration of at least an alcohol to make at least an olefin, comprising:introducing in a reactor a stream (A) comprising at least an alcohol, optionally water, optionally an inert component, contacting said stream with a catalyst in said reactor at conditions effective to dehydrate at least a portion of the alcohol to make an olefin, recovering from said reactor an olefin containing stream (B), Wherein the catalyst is: a crystalline silicate having a ratio Si/Al of at least about 100, or a dealuminated crystalline silicate, or a phosphorus modified zeolite, the WHSV of the alcohols is at least 2 h−1, the temperature ranges from 280° C. to 500° C. It relates also to the same process as above but wherein the catalyst is a phosphorus modified zeolite and at any WHSV.The partial pressure of the alcohol in the dehydration reactor advantageously ranges from 1.2 to 4 bars absolute (0.12 MPa to 0.4 MPa), the temperature of the dehydration reactor ranges advantageously from 300° C. to 400° C. and the alcohol is selected among ethanol, propanol, butanol and phenylethanol.