The relationship between crude oil and precious metals has been a major issue in economic and financial literature. In this paper, the FIEGARCH-copula framework was used to investigate the co-movements not only between returns, but also between volatilities and market risks among crude oil and precious metals markets. Based on daily crude oil and the major precious metals prices from January 2, 2000 to December 31, 2016, our empirical results are as follows: First, a significant positive and asymmetric relationship between oil and precious metals returns, volatilities and market risk was detected. Second, the dependence structure between oil-silver and oil-gold for returns and volatilities are time varying, while the other pairs are characterized by constant dependence. Third, based on the dependence modeling between daily Value-at-Risk (VaR) for the long and short trading position, empirical results show that the market risk relationship between crude oil and precious metals change over time and increase with VaR’s confidence level. Our findings are of interest for investors and risk managers in portfolio’s design and allow for a reliable framework for returns and risk prediction.