We examine the comovement between China's commodity futures and world crude oil prices based on their daily return series. Using a dynamic time-varying approach, we combine the generalized autoregressive score (GAS) model with the copula approach, allowing for asymmetry and tail dependence. Our results demonstrate a significant nonlinear causal impact of world crude oil prices on each of China's commodities. The comovement between China's commodity futures and crude oil prices is positive, with varying degrees of significance across different commodity types. Notably, non-ferrous metal and chemical commodity futures are more vulnerable to rising crude oil prices. From a dynamic perspective, we observe continued volatility in the comovement between China's commodity futures and world crude oil prices in recent years. Moreover, the time-varying dependence between the three non-ferrous metals and crude oil prices is higher than that of other commodities. These findings hold significant implications for global investors, risk managers and policymakers.