U4 and U6 small nuclear RNAs are associated by an extensive base-pairing interaction that must be disrupted and reformed with each round of splicing. U4 mutations within the U4/U6 interaction domain destabilize the complex in vitro and cause a cold-sensitive phenotype in vivo. Restabilization of the U4/U6 helix by dominant (gain-of-function), compensatory mutations in U6 results in wild-type growth. Cold-insensitive growth can also be restored by two classes of recessive (loss-of-function) suppressors: (1) mutations in PRP24, which we show to be a U6-specific binding protein of the RNP-consensus family; and (2) mutations in U6, which lie outside the interaction domain and identify putative PRP24-binding sites. Destabilization of the U4/U6 helix causes the accumulation of a PRP24/U4/U6 complex, which is undetectable in wild-type cells. The loss-of-function suppressor mutations inhibit the binding of PRP24 to U6, and thus presumably promote the release of PRP24 from the PRP24/U4/U6 complex and the reformation of the base-paired U4/U6 snRNP. We propose that the PRP24/U4/U6 complex is normally a highly transient intermediate in the spliceosome cycle and that PRP24 promotes the reannealing of U6 with U4.