University students in Uganda had been confined to use of traditional educational technologies such as chalkboards, papers and text books. Digital Media Approach recently found its way in the academia at public universities in Uganda. Information and communication technology (ICT) have become popular means of surfing, downloading and obtaining electronic materials among students. The approach has globally facilitated the seeking of academic information at institutions of higher learning in Uganda. However, little research has been conducted in regard to students who are the key users of Digital Media. The purpose of this study was to explore students' attitudes towards Digital Media Approach at a public university in Uganda. The study specifically sought to establish whether university students' attitudes towards digital technology were dependent on computer ownership, field of study and previous computer hands-on experience. A survey research was employed to establish students' attitudes in regard to digital media. Questionnaires and interviews were used as tools for data collection while data was analyzed using a t-test. The findings showed that students who had their own computers as well as previous computer hands-on experience had more positive attitudes towards using the media than their counterparts without previous computer hands-on experience.