Process frameworks for the implementation of cloud enterprise resource planning (ERP) were derived and each process was examined through detailed comparisons with on-premise ERP construction processes, using process engineering characteristics. The process frameworks for implementing cloud ERP are classified into infrastructure-as-a-service (IaaS), platform-as-a-service (PaaS), content-as-a-service (CaaS), and software-as-a-service (SaaS), depending on the construction type, and are defined based on 6 derived processes, 21 activities, and numerous specific tasks. The process engineering characteristics of the final proposed process framework were further analyzed and examined in comparison to on-premise ERP construction processes with respect to differences and similarities. This study provides a theoretical foundation of standardized research on cloud ERP construction methods. As a practical guideline for stakeholders, it can be used in practice as a process tailoring tool, providing information on specific activities and tasks for each construction phase, contributing to the construction and spread of reliable cloud-based ERP systems from the customer's perspective.