As cyber-attacks continue to proliferate in the digital landscape, organizations face escalating threats to their networks,particularly through proxy servers. Proxy-servers are prone to attacks such as Denial of Service (DoS) and Distributed Denialof Service (DDoS) and existing detection and prediction systems are inefficient. Therefore, this study used a hybrid of radialbasis function (RBF) and support vector machine (SVM) techniques to predict DoS and DDoS attacks on a proxy server. TheDynamic Systems Development Methodology was used for the design of the system. The mathematical formulation of thehybrid model was implemented in Python and JavaScript respectively and made to run on a local area network. The result ofthis research is the development of a proactive predictive security model that will helps to provide a valuable contribution tothe field of cybersecurity by combining RBF and SVM techniques for predictive analysis. The developed system has an accuracyof 99.56% as compared to the existing individual RBF and SVM models with 77.22% and 80.00% respectively. Hence, thedeveloped system can effectively predict cyberattacks on proxy servers, for improved security ensuring the integrity andavailability of vital network resources.