Most of the activities going on in the world today demand information and data sharing in one form or the other. Consequently, the Internet and its connectivity has gradually become a household concern. The connection to the Internet requires physical transfer of signal (data/information) from one point to another. This can either be through physical medium (wire) or through the air (wireless). This paper a comparative study of Fiber Optics and Wireless Technologies in Internet connectivity seeks to identify which of the two technologies is better for signal transmission in terms of bandwidth utilization, performance, reliability, cost effectiveness, resilience, and security. The study adopted the use of secondary sources for the sourcing of materials. A lot of journal articles, research publications, testbooks, white papers and many more were critically studies and comparatively analysed. It was clear that both media have hitches and challenges. The study showed that although initial cost of acquisition is an inhibitive factor for fibre optic connection, unlimited bandwidth delivery and high Quality of Service (QoS) placed Fiber optics above wireless connectivity in their overall performance.