The death of a baby in the perinatal period is considered a disenfranchized grief that can be a source of significant symptoms of guilt, shame, and stigma. There is a lack of validated instruments for assessing the stigma associated with perinatal grief. The aim of this study was to examine the psychometric properties (factor structure, reliability, and validity) of the Spanish version of the Stillbirth Stigma Scale (SSS) in parents who have experienced a perinatal loss. A total of 291 participants (mostly mothers) completed an online questionnaire that included the SSS and other measures. The best-fitting factor structure was a second-order model with four dimensions and adequate reliability values. In terms of validity, we found statistically significant relationships between the SSS scores and the variables of self-esteem, complicated grief, event centrality, depression, and anxiety. In conclusion, the Spanish adaptation of the SSS is deemed to have adequate psychometric properties.