Amazon MQ now offers Federal Information Processing Standards (FIPS) 140-2 validated endpoints in US commercial regions to protect sensitive information. These endpoints terminate Transport Layer Security (TLS) sessions using a FIPS 140-2 validated cryptographic software module, enabling you to use Amazon MQ for certain regulated workloads.  

from Recent Announcements https://aws.amazon.com/about-aws/whats-new/2019/10/amazon-mq-supports-fips-140-2-validated-endpoints-in-us-commercial-regions/