For cutting down cost and improving the efficiency of enterprises, adoption of innovations in ICT especially in cloud computing applications is the need of the time in the highly competitive global environment. It has been noted that generally, the Indian MSMEs are not utilizing the CC applications for the promotion of their business activities and are not availing their benefits. Hence, in the present investigation, the critical success factors (CSFs) for cloud computing adoption (CCA) in the Indian micro, small and medium enterprises (MSMEs) are identified through an exhaustive literature review and expert opinions. The association between the identified factors is established by employing an interpretive structural modeling methodology that is a multi-criteria decision making (MCDM) approach. Later, the MICMAC analysis is carried out for identifying the factors having high influential power. The results of the study revealed that a CSF namely ‘previous technological experience’ is the most significant factor having the highest driving power. The findings of this research are intended to guide cloud service providers, enterprise managers, and governmental bodies in formulating the strategies and policies for effective implementation of cloud computing facilities and harness the benefits of the same. This study makes a significant contribution to the knowledge base of CC adoption for future research in the subject field.