In skin1/customer/main/product_details.tpl find this code
Code:
<tr>
<td class="property-name">{$lng.lbl_sku}</td>
<td class="property-value" id="product_code" colspan="2">{$product.productcode|escape}</td>
</tr>
and comment it out like this
Code:
{* <tr>
<td class="property-name">{$lng.lbl_sku}</td>
<td class="property-value" id="product_code" colspan="2">{$product.productcode|escape}</td>
</tr>
*}