Process for distillation of methanol, comprising: (i) pre-treatment of a crude stream A of methanol in a stabilizing column V0 at pressure PC, for separation of volatile components, obtaining a stream of light gases L from the upper section of V0 and a liquid stream 80 comprising methanol from the lower section of V0, (ii) 80 is then directed towards concentration column V1, at pressure P1, (iii) gaseous stream T1 recovered from the upper section of V1 is condensed in heat exchanger E2, supplying energy to concentration column V2, (iv) part of the condensed methanol obtained in step (iii) is sent to product C1, and the remaining part of the condensed methanol is added to the upper section of V1 and used as reflux flow, (v) a liquid stream B1 comprising methanol is recovered from the lower section of V1 and passed on to V2, at pressure P2, (vi) gaseous stream T2 recovered from the upper section of V2 is split in two separate streams, one stream being condensed in a heat exchanger E0, supplying energy to V0, and the other stream being condensed in a heat exchanger E3, supplying energy to concentration column V3, (vii) part of the condensed methanol obtained in step (vi) is sent to product, C2, and the remaining part of the condensed methanol is added to the upper section of V2 and used as reflux flow, (viii) a liquid stream B2 comprising methanol is recovered from V2 and passed on to V3, at pressure P3, (ix) gaseous stream T3, recovered from the upper section of V3, is condensed, part of the condensed methanol being sent to product, C3, and the remaining part being added to the upper section of V3 and used as reflux flow, (x) one or more side streams H comprising higher alcohols and other minor biproducts is withdrawn from V3 and a liquid stream B3, is drawn from V3, wherein: - Columns V1, V2 and V3 operate at decreasing pressures, such that P1>P2>P3 - P0> 0 barg and P3> 0 barg - each column V0, V1, V2 and V3 is correspondingly associated to a heat exchanger E0, E1, E2 and E3, which is a reboiler for the same column, - heat exchangers E0 and E3 are condensers for column V2; - heat exchanger E2 is condenser for column V1. characterized in that: - P3<2 barg; and - Heat exchanger E1 is supplied by an external energy source. (i) pre-treatment of a crude stream A of methanol in a stabilizing column V0 at pressure PC, for separation of volatile components, obtaining a stream of light gases L from the upper section of V0 and a liquid stream 80 comprising methanol from the lower section of V0, (ii) 80 is then directed towards concentration column V1, at pressure P1, (iii) gaseous stream T1 recovered from the upper section of V1 is condensed in heat exchanger E2, supplying energy to concentration column V2, (iv) part of the condensed methanol obtained in step (iii) is sent to product C1, and the remaining part of the condensed methanol is added to the upper section of V1 and used as reflux flow, (v) a liquid stream B1 comprising methanol is recovered from the lower section of V1 and passed on to V2, at pressure P2, (vi) gaseous stream T2 recovered from the upper section of V2 is split in two separate streams, one stream being condensed in a heat exchanger E0, supplying energy to V0, and the other stream being condensed in a heat exchanger E3, supplying energy to concentration column V3, (vii) part of the condensed methanol obtained in step (vi) is sent to product, C2, and the remaining part of the condensed methanol is added to the upper section of V2 and used as reflux flow, (viii) a liquid stream B2 comprising methanol is recovered from V2 and passed on to V3, at pressure P3, (ix) gaseous stream T3, recovered from the upper section of V3, is condensed, part of the condensed methanol being sent to product, C3, and the remaining part being added to the upper section of V3 and used as reflux flow, (x) one or more side streams H comprising higher alcohols and other minor biproducts is withdrawn from V3 and a liquid stream B3, is drawn from V3, - Columns V1, V2 and V3 operate at decreasing pressures, such that P1>P2>P3 - P0> 0 barg and P3> 0 barg - each column V0, V1, V2 and V3 is correspondingly associated to a heat exchanger E0, E1, E2 and E3, which is a reboiler for the same column, - heat exchangers E0 and E3 are condensers for column V2; - heat exchanger E2 is condenser for column V1. - P3<2 barg; and - Heat exchanger E1 is supplied by an external energy source.