The pandemic situation in 2020 brought about a 'digitized new normal' and created various issues within the current education systems. One of the issues is the monitoring of students during online examination situations. A system to determine the student's eye gazes during an examination can help to eradicate malpractices. In this work, we track the users' eye gazes by incorporating twelve facial landmarks around both eyes in conjunction with computer vision and the HAAR classifier. We aim to implement eye gaze detection by considering facial landmarks with two different Convolutional Neural Network (CNN) models, namely the AlexNet model and the VGG16 model. The proposed system outperforms the traditional eye gaze detection system which only uses computer vision and the HAAR classifier in several evaluation metric scores. The proposed system is accurate without the need for complex hardware. Therefore, it can be implemented in educational institutes for the fair conduct of examinations, as well as in other instances where eye gaze detection is required. © 2021 Tech Science Press. All rights reserved.