A pant type absorbent article such as a pant diaper, a sanitary pant or incontinence pant, the article having a core region including an absorbent core and a chassis region surrounding the core region. The article at least in part of the chassis region has an outer coversheet in the form of an elastic laminate having a Softness (S) according to Kawabata of at least 20. The laminate includes first and second layers of fibrous material and an elastic film layer located between the first and second fibrous layers.