table style with frame

I'm reading this as that you want a table with an outline border but no borders beween cells.

The problem is that table layout is hierarchical, and Cell Styles always override Table Styles, especially for borders. If you set a border for the Table Style (which in theory puts a border around the outside), any definition of borders in Cell Styles in cells that touch the outside border will override that table border definition.

The outside border defined by a Table Style will only show, in my experience, if a Cell Style of [None] is used. Any definition of a border in a cell style, even to 0pt/[None], will override that table border.

You can achieve what you're after by using a cell style of [None] on all outer perimeter cells, then manually setting only the inner strokes of those to 0 points. Tedious and not readily automated.

Frankly, I'm not too sure what use the Table Style border has. 🙂

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There are CellStyles and TableStyles. 

>> can't i assign a frame? 

Can you draw what you mean? before/after images.

If you want to assign frame stroke - this is an object style setting, not a table style.