Cicalese et al. (2007) studied interval group testing where n items are linearly ordered, each of them is either positive or negative. In interval group testing model, each query has the form “does a set of consecutive items contain any positive item?” Motivated by applications to DNA sequencing, group testing with consecutive positives has been proposed by Balding and Torney (1997) and Colbourn (1999) where n items are linearly ordered and all positive items are consecutive in the order. In this thesis, we study one- and two-stage fault tolerant interval group testing for consecutive positives.