This document proposes a convolutional capsule network called VGG-CapsNet to diagnose COVID-19 using chest X-ray images. Convolutional neural networks currently used for COVID-19 detection have limitations related to view-invariance and information loss during downsampling. VGG-CapsNet aims to address these issues by using a capsule network architecture. In simulations, VGG-CapsNet achieved 97% accuracy for COVID-19 vs. non-COVID-19 classification and 92% accuracy for COVID-19 vs. normal vs. viral pneumonia classification, outperforming a CNN-CapsNet model. The proposed VGG-CapsNet system is available online and can help detect COVID-19 in the body through chest radiographic images