The purpose of this research is to test a structural equation model which consisting variables of hope, supportive family relationships and discouraging family relationships to explain school burnout in secondary school children. The sample group consisted of 338 secondary school students attending four different secondary schools in Ankara. Of the participants, 173 were female and 165 were male. Within the study, personal information form, developed by researchers, Elementary School Student Burnout Scale for Grades 6-8 (ESSBS), the Children's Hope Scale (CHS) and the Family Relationship Scale for Children (FRSC) were administered applied. In the analysis of the data, frequency, percentage, correlation analysis and path analysis were used through SPSS 22 and AMOS programs. As a result of path analysis, there is a negative relationship between supportive family relationships and hope and school burnout; it was found that there is a positive relationship between discouraging family relationships and school burnout. Additionally, in this structural equation model, supportive family relationships, discouraging family relationships and hope variables together account for 49% of the change in school burnout variables. Findings obtained from the research were discussed in the light of relevant literature and various proposals were made for the future studies of practitioners, researchers and policymakers working on the field.