How efficient is cognitive training to improve cognitive abilities for children with migration background? The trial of ?Denktraining für Kinder I? by Klauer (1989) is looking closer into that matter and checks, in what way inductive reasoning (CFT1) could be conducive and whether transfer effects in language dimensions (HSET) through that training are observable. The research was, in line with a pre-post test design, conducted on 33 children of second elementary school with migration background (M = 8;2 years). The results of regression analysis and measuring the power of effects show, that through cognitive training in areas of intelligence, only small supporting effects are gained (dcorr = 0.32). The actual benefit measures 2.54 IQ points. There are no effects observed in terms of language, still there is a trend to small improvements in semantic (dcorr = 0.15). With reference to present samples of children with migration background in first or second generation, smaller effects of the training in inductive reasoning, in comparison to previous studies (Klauer & Phye, 2008), are concluded. Supporting effects on language components, according to the pilot study of Marx (2006), could not be confirmed. Keywords: Cognitive abilities, cognitive training, inductive reasoning, language, migration.