Hello Zhong, Shui Jin (Azure Account),
Thanks for your question.
No, tags from a snapshot are not automatically inherited by the VM created from that snapshot.
Tags are resource specific, so you will need to re-create the tag on the new machine.
See: https://learn.microsoft.com/en-us/azure/azure-resource-manager/management/tag-resources
You can mark it 'Accept Answer' and 'Upvote' if this helped you
Regards,
Abiola