Resistance to Cucumber mosaic virus (CMV) in the exotic melon accession PI 161375, cultivar "Sonwang Charmi" (SC) had previously been described as oligogenic, recessive and quantitative, with a major QTL residing in linkage group XII (LGXII). We have used a collection of near isogenic lines (NILs) with introgressions of SC into the genome of the susceptible accession Piel de Sapo (PS) to further characterise this resistance. Infection of NILs carrying introgressions on LGXII showed that only NIL SC12-1 was resistant to CMV strains P9 and P104.82, but not to strains M6 and TL. Further mapping of this region showed that the resistance, named cmv1 maps in an area of 2.2 cM, between markers CMN61_44 and CMN21_55. Moreover, cmv1 confers total resistance to strains P9 and P104.82, indicating that in these cases it is not quantitative and that cmv1 is sufficient to confer full resistance to these CMV strains. Candidate gene mapping of ten translation initiation factors in the melon genome failed to find any of them in the interval between markers CMN61_44 and CMN21_55. All these results suggest that the resistance to CMV present in SC is oligogenic, where different loci confer resistance to different CMV strains, but not necessarily quantitative, since at least one of these genes (cmv1) confers total resistance, similar to that of the parental SC, and does not need the contribution of other loci.