Background: Autism spectrum disorder (ASD) is a complex neurological condition resulting in impaired social interaction and difficulty in understanding verbal and nonverbal communication. Caring for children with ASDs is challenging for both children and their caregivers. The child suffering from ASD starts to show the developmental outcome during early 2.5–3 years and continues thereafter till the child turns to an adult. Many caregivers face severe financial crises, high out-of-pocket healthcare expenses, and unemployment. Previous studies have reported a plethora of psychosocial problems affecting caregivers of children with ASD, ranging from stress, depression, anxiety, restrictions of activities, strain in marital relationships, and diminished physical health. Objective: This article aims to explore the concerns of the caregivers of children suffering from ASD. Aggregate themes were prepared based upon Corley and Gioia’s method of data structuring. Methods: After development and validation of an interview schedule, verbatim of seven caregivers of children with ASD were imported on the Atlas.ti version 8. Initial coding and final coding were followed by extracting the aggregate themes. Lincoln and Guba’s framework was used to assess the quality criteria as a part of qualitative analysis. Results: Caregivers face various challenges while caring for a child with ASD, with a negative impact on physical health, psychological well-being, societal reactions, and financial balance. Caregivers reported concerns related to service availability for ASD, poorly coping with the diagnostics, and disease processes. Conclusions: Caregivers undergo a lot of problems while taking care of a child with ASD. Health professionals must have an understanding of these problems and must provide the education and information for a better management. Furthermore, the findings of this study have policy implications for the health authorities for providing better health services to children diagnosed with ASD.