The ν-support vector regression (ν-SVR) proposed by Sch lkopf, et al., has the advantage of using theparameter ν to control the number of support vectors and margin errors, however, compared to ε-SVR, itsformulation is more complicated. Until now, there have been no effective methods used to compute the ν-path for it.This paper proposes a new solution path algorithm, which is designed based on a modified formulation of ν-SVRand traces the solution path with respect to the parameter ν. Through theoretical analysis and experiments, resultscan show that the algorithm can avoid the infeasible updating path, and fit the entire ν-path in finite steps.