In order to accurately analyze the impact of default negative correlation factors between related companies on the valuation of corporate bonds, this paper considers the pricing problem of corporate bonds with general default negative correlation structure under stochastic interest rate. Based on the hyperbolic decay correlation model of default intensities of $n+1$ affiliated companies, it describes the general default negative correlation structure between the $n+1$ company and the first $n$ affiliated companies. A mathematical model of corporate bonds pricing with general default negative correlation structure is established by using the reduction method. Moreover, based on stochastic analysis method and conditional independence method, the explicit pricing expression of corporate bonds is obtained. At last, the influence of negative correlation factors on corporate bond pricing is analyzed based on numerical calculation.