Same publisher, different scope
Both certifications are issued by ISC2, share a common continuing-education ecosystem, and operate under the same governance and ethics framework. Holding both means a single ISC2 membership and the ability to log CPEs once for activities that qualify under both programs.
The CCSP was created in partnership with the Cloud Security Alliance (CSA), which contributes the cloud-specific body of knowledge. This collaboration gives the CCSP additional credibility in cloud-native environments, where CSA's Cloud Controls Matrix and STAR program are widely referenced.