A method for production of disposable hygienic absorbent articles (12) inwhich each article has a substantially homogenous elastic laminate web (14)having a maximum elastic extensibility in a first direction of at least 40 %,preferably at least 60 %, and most preferably at least 80 %, under a peak loadFp, and an absorbent core (16) attached to the elastic laminate web. Themethod comprising the steps of providing a continuous length of the elasticlaminate web (14); advancing the continuous length of the elastic laminate webin a direction of travel (A) corresponding to the first direction; attachingindividual absorbent cores (16) to the continuous length of the elasticlaminate web at spaced intervals, and forming individual articles (12) fromthe thus assembled individual absorbent cores and the continuous length ofsaid elastic laminate web. The continuous length of the elastic laminate web(14) is maintained under a tensioning load Ft in the direction of travelduring the advancing, with the tensioning load Ft satisfying the condition:0.03 Fp <;= Ft<;=0.25 Fp.