The invention discloses a quick single-disk failure recovery method for triple-erasure-correcting codes. The method includes: dividing each stripe unit of each stripe into p-1 sub-blocks during recovery of single stripes; acquiring a total number R of the sub-blocks, used for recovering a failed disk, in each stripe; in an array of p+2 disks, initializing a feasible solution value for failure of the failed disk I into 3; initializing a counter j=0; converting j into a recovered sequence which is ternary and which shares p-1 elements by means of the division algorithm; calculating a sum of bits with 0, 1 and 2 values in the recovered sequence of p-1 bits; comparing the three numbers pairwise; judging whether or not absolutes of differences are all smaller than or equal to 1; if yes, starting an effectiveness test function and judging whether or not test blocks, represented with the recovered sequence, are able to recover all data blocks in the failed disk i. The letter p is a prime number, with p+2 being equal to the number of disks in an RAID (redundant array of independent disks), and R=R+w%. The quick single-disk failure recovery method for triple-erasure-correcting codes has the advantages that disk recovery process can be quickened and system reliability is improved.