In the healthcare field, lung disease detection techniques based on deep learning (DL) are widely used. However, achieving high stability while maintaining privacy remains a challenge. To address this, this research employs Federated Learning (FL), enabling doctors to train models without sharing patient data with unauthorized parties, preserving privacy in local models. The study introduces the Deep Kronecker Convolutional Neural Network (DKCN-Net) for lung disease detection. Input Computed Tomography (CT) images are sourced from the LIDC-IDRI database and denoised using the Adaptive Gaussian Filter (AGF). After that, the Lung lobe and nodule segmentation are performed using Deep Fuzzy Clustering (DFC) and a 3-Dimensional Fully Convolutional Neural Network (3D-FCN). During feature extraction, various features, including statistical, Convolutional Neural Networks (CNN), and Gray-Level Co-Occurrence Matrix (GLCM), are obtained. Lung diseases are then detected using DKCN-Net, which combines the Deep Kronecker Neural Network (DKN) and Parallel Convolutional Neural Network (PCNN). The DKCN-Net achieves an accuracy of 92.18 %, a loss of 7.82 %, a Mean Squared Error (MSE) of 0.858, a True Positive Rate (TPR) of 92.99 %, and a True Negative Rate (TNR) of 92.19 %, with a processing time of 50 s per timestamp.