Update 2:

la tabella esiste, solo non viene renderizzata da IE...

codice:
idom.innerDom(document.getElementById("test1"),{TAG:'table',id:'tbl1',INNER:[
{TAG:'tr',INNER:[{TAG:'td',INNER:'*'},{TAG:'td',INNER:'*'},{TAG:'td',INNER:'*'}]},
{TAG:'tr',INNER:[{TAG:'td',INNER:'*'},{TAG:'td',INNER:'*'},{TAG:'td',INNER:'*'}]},
{TAG:'tr',INNER:[{TAG:'td',INNER:'*'},{TAG:'td',INNER:'*'},{TAG:'td',INNER:'*'}]}
]});
alert(document.getElementById("tbl1").innerHTML);
codice:
<tr>
<td>*</td>
<td>*</td>
<td>*</td></tr>
<tr>
<td>*</td>
<td>*</td>
<td>*</td></tr>
<tr>
<td>*</td>
<td>*</td>
<td>*</td></tr>