Word tables don't have a 'name' property. They do, however, have a 'title' property which you can access via 'Alt Text' on the tables properties dialogue box. They can also be titled via VBA.

If you want to refer to a particular table, you'd ordinarily identify it by its index number, a bookmark that has been applied to it, or by using Find to identifying content unique to that table.

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Cheers,
Paul Edstein
[Fmr MS MVP - Word]