The effector complex of the Cmr/type III-B CRISPR (clustered regularly interspaced short palindromic repeat)-Cas (CRISPR-associated) system cleaves RNAs recognized by the CRISPR RNA (crRNA) of the complex and includes six protein subunits of unknown functions. Using reconstituted Pyrococcus furiosus Cmr complexes, we found that each of the six Cmr proteins plays a critical role in either crRNA interaction or target RNA capture. Cmr2, Cmr3, Cmr4, and Cmr5 are all required for formation of a crRNA-containing complex detected by native gel electrophoresis, and the conserved 59 repeat sequence tag and 59-OH group of the crRNA are essential for the interaction. Interestingly, capture of the complementary target RNA additionally requires both Cmr1 and Cmr6. In detailed functional studies, we determined that P. furiosus Cmr complexes cleave target RNAs at 6-nucleotide (nt) intervals in the region of complementarity, beginning 5 nt downstream from the crRNA tag and continuing to within~14 nt of the 39 end of the crRNA. Our findings indicate that Cmr3 recognizes the signature crRNA tag sequence (and depends on protein-protein interactions with Cmr2, Cmr4, and Cmr5), each Cmr4 subunit mediates a target RNA cleavage, and Cmr1 and Cmr6 mediate an essential interaction between the 39 region of the crRNA and the target RNA.