This article presents a class of attribute sampling plans based on the theory of runs. These plans call for the acceptance of a process if a run of specified length of nondefective items occurs before a fixed number of defectives have been observed. Recursion formulas for the probabilities of rejection and acceptance at each stage of sampling are derived. The operating characteristic (OC) curves, the average sample number (ASN) curves. and the variance of sample number (VSN) curves are given for representative plans within the class. This new class of plans is compared with a sequential plan and with a related sampling plan, also based on the theory of runs, which accepts a process if a run of specified length of nondefective items occurs in a fixed number of trials.