The quantization parameter (QP) value and Lagrangian multiplier (λ) are the key factors for an encoder to achieve the trade-off between visual quality and bit-rate in next generation multimedia communications. In this work, we propose a novel temporal redundancy ratio (TRR) model to determinate hierarchical QPs. Taking the temporal redundancy information, intensity and fluctuation into consideration, the TRR model is constructed as the ratio of mean and variance from the temporal redundancy, and then used to allocate a proper QP value for an individual picture to achieve bit-rate saving and improve the visual quality. We implement the TRR model based QP determination scheme into the reference software HM16.7. Under the common test condition (CTC), simulation results show that the proposed TRR model obtains 1.28% and 1.52% BD-Rate gain over HM16.7 for Low-Delay and Random-Access in 8-bit video coding respectively. Meanwhile, more BD-Rate gains are obtained in 10-bit coding and the screen coding class.