A non-contact respiratory and heart rate monitoring system was designed to monitor bedridden patients. Initially, according to the mechanical properties of the cardiac ejection contraction process, piezoelectric ceramic sensors with high sensitivity and good stability were selected to acquire ballistocardiography (BCG) signals. The collected signal was then desiccated, filtered and amplified; it was then digitized to obtain a heart impact diagram. A respiratory signal was then extracted from the cardiogram with smooth filtering, and the respiratory rate signal was obtained via an FFT transformation. The respiratory envelope and high-frequency interference of the BCG signal were removed using a band-pass filter, and the j-wave peak measurement of the BCG signal was obtained to calculate the heart rate. Finally, to verify the accuracy and consistency of the system, it was compared with respiratory data collected by BIOPAC and ECG signals. The respiratory error rate of the system is less than 4.5% and the heart rate error is 9.7%. A Bland-Altman analysis indicates that the heart rate measurement and accuracy computed by the monitoring system are consistent with those of BIOPAC.