Abstract: A method of analytical calculation of power supply reliability indexes of a power distribution network includes (A1) acquiring parameters of the power distribution network; (A2) building a reliability calculation model, which includes treating the power distribution network as a node-branch calculation unit and numbering nodes and branches in the power distribution network; (A3) building correlation matrices, and calculating a power supply path matrix and a tie-line matrix, wherein the correlation matrices are a node-branch association matrix, a section switch matrix and a fuse matrix; (A4) deriving a fault incidence matrix through the power supply path matrix, the section switch matrix, the fuse matrix and the tie-line matrix, and calculating the reliability indexes of the nodes and the power distribution network; and (A5) identifying vulnerable links by performing sensitivity analysis through partial derivative transformation for quantifiable parameters or perturbation transformation for unquantifiable para