No. ID's are for single unique elements. If you want to specify an ID to style many elements you should be using the 'class' attribute - exactly like what you've done for your website (I cant see any duplicate ID's but I can see duplicate classes).
For example this would be acceptable - however it is odd to assign the same class name to different tags. I think you would typically want same classes to both be either <td> or <div>, one or the other but not both. I don't think there's anything saying it's not allowed but it will make things easier to code & understand.
Reading this should help explain it a bit better than i can:
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