Social research carried out through the use of new media technologies can generate large volumes of qualitative data. A systematic and rigorous approach is therefore important in analysing large volumes of qualitative data. Computer-aided qualitative data analysis programmes—such as Atlas-ti 6.2—have managed to facilitate the process of data analysis, to some extent. However, researchers remain central in designing and deciding how the qualitative data gathered as evidence from the field are to be analysed, interpreted, and presented. Within this context, this chapter aims to consider Abductive Thematic Network Analysis (ATNA) with Atlas-ti 6.2 as a systematic way of carrying out qualitative data analysis. A data set from a study on Adolescent Sexual and Reproductive Health is used as an example for facilitating the explanation on the steps in carrying out, and for providing an illustration of the outcome of, ATNA. The objectives of this chapter are to make a brief presentation of abductive approach to social research, describe ATNA, and demonstrate the techniques for such an analysis using Atlas-ti 6.2. The chapter concludes that ATNA can be a useful systematic way to proceed with qualitative data analysis that can be facilitated by the use of Atlas-ti 6.2.