Parental stress is a construct related to people’s perception of difficulties and feelings of not being able to cope with the demands of parenting. This construct is often experienced as a negative or aversive response to parental obligations, and the available evidence also suggests that excessive parenting stress reduces the use of positive parenting behaviors and are related to dysfunctional parenting. Different instruments exist to assess parental stress. This article is part of a project to translate and adapt the Parenting Stress Index (PSI), fourth edition, in its two forms (full and short). The aim of this research is to identify the psychometric indicators obtained by this instrument and to review the evidence they can provide. Method: Following the PRISMA guide (Preferred Reporting Items for Systematic Reviews and Meta-Analyses), the studies related to the PSI were identified in different databases (ERIC, PsycArticles, PubMed, Scopus and Web of Science). Results: The screening process resulted in 16 articles; four have analyzed the psychometric properties of the PSI-4 and the rest have studied the PSI-3. Although version 4 was published in 2012, the studies are scarce. However, they follow the line noted in the previous short version, a high internal consistency and a factor structure of three factors. Conclusions: The difficulties of working with a measurement instrument with 101 items means that the full version of the PSI has been little studied, except in translation and linguistic adaptation studies.