In a longitudinal intervention study, Swedish reading disabled children in grades 2-3 received either a phonological (n = 41) or an orthographic (n = 39) training program. Both programs were computerized and interventions took place in ordinary school settings with trained special instruction teachers. Two comparison groups, ordinary special instruction and normal readers, were also included in the study. Results showed strong average training effects on text reading and general word decoding for both phonological and orthographic training, but not significantly higher improvements than for the comparison groups. The main research finding was a double dissociation: children with pronounced phonological problems improved their general word decoding skill more from phonological than from orthographic training, whereas the opposite was observed for children with pronounced orthographic problems. Thus, in this population of children, training should focus on children's relative weakness rather than their relative strength in word decoding. (Contains 4 tables.)