The internet brought a diffusion of technology in the banking arena. Two of the personal devices which aid this phenomenon are the computer (website) and smartphone (web application). Nowadays, banking is done vividly through the internet that causes both computer and smartphone prone to security risks. This review paper aims to highlight the earlier research deliberations, suggested solutions and the factors related to security issues in electronic banking devices in the past six years. Narrative literature review method was used by reviewing 130 papers from selected database journals. The paper discusses the articles between the years 2012 and 2018. It points and poses unanswered questions, which serve as the scope for further research. Neither a computer nor a smartphone has an upper hand when it comes to security. Security of banking technology does not depend on these devices. Rather the onus rests on the users, service providers and banks. The emerging electronic commerce and mobile commerce industry are not considered in this paper. This paper endeavours to provide a better scope for researchers in future to answer unrequited questions on the role of devices in banking technology security. All the past literature has focused on the peoples’ attitude towards security threats in online banking. This study challenges to think further, about the influence of security threats to online banking devices.