Many species in the Rosaceae, the Solanaceae, and the Plantaginaceae exhibit S-RNase-based gametophytic self-incompatibility (GSI). This system comprises S-ribonucleases (S-RNases) as the pistil S determinant and a single or multiple F-box proteins as the pollen S determinants. In Prunus, pollen specificity is determined by a single S haplotype-specific F-box protein (SFB). The results of several studies suggested that SFB exerts cognate S-RNase cytotoxicity, and a hypothetical general inhibitor (GI) is assumed to detoxify S-RNases in non-specific manner unless it is affected by SFB. Although the identity of the GI is unknown, phylogenetic and evolutionary analyses have indicated that S locus F-box like 1-3 (or S locus F-box with low allelic sequence polymorphism 1-3; SLFL1-3), which are encoded by a region of the Prunus genome linked to the S locus, are good GI candidates. Here, we examined the biochemical characteristics of SLFL1-3 to determine whether they have appropriate GI characteristics. Pull-down assays and quantitative expression analyses indicated that Prunus avium SLFL1-3 mainly formed a canonical SCF complex with PavSSK1 and PavCul1A. Binding assays with PavS(1,3,4,6)-RNases showed that PavSLFL1, PavSLFL2, and PavSLFL3 bound to PavS(3)-RNase, all PavS-RNases tested, and none of the PavS-RNases tested, respectively. Together, these results suggested that SLFL2 has the appropriate characteristics to be the GI in sweet cherry pollen, while SLFL1 may redundantly work with SLFL2 to detoxify all S-RNases. We discuss the possible roles of SLFL1-3 as the GI in the Prunus-specific S-RNase-based GSI mechanism.