Cybersecurity of cloud services is extremely important, especially when developing web services and cloud apps. Cloud computing depends on internet connections; therefore, the security of its services is constantly under attack. Distributed Denial of Service (DDoS) attacks are a malicious attempt to damage the normal traffic of the targeted cloud by flooding it with internet traffic. As a result, this causes a serious problem for cloud computing security. The objectives of this paper are, to introduce a new cybersecurity approach for protecting cloud services against all types of DDoS attacks, to evaluate the performance and effectiveness of the proposed algorithm, and to use the contribution of correlation coefficient analysis for validating the effectiveness of the proposed approach by identifying the relationship between malicious and legitimate traffic. The researcher evaluated the performance of the proposed approach in terms of accuracy, sensitivity, and specificity. The feedback of the experiments was highly promising for protecting cloud services against DDoS Attacks. The experiments showed encouraging results for preventing DDoS attacks, with an average performance of 95.41%, an average accuracy of 96.53%, an average sensitivity of 92.31%, and an average specificity of 97.39%.