In includes -> templates -> YOUR_TEMPLATE -> common -> tpl_header.php

find:

PHP Code:
<!--bof-navigation display-->
<div id="navMainWrapper">
<div id="navMain">
    <ul class="back">
    <li><?php echo '<a href="' HTTP_SERVER DIR_WS_CATALOG '">'?><?php echo HEADER_TITLE_CATALOG?></a></li>
<?php if ($_SESSION['customer_id']) { ?>
    <li><a href="<?php echo zen_href_link(FILENAME_LOGOFF'''SSL'); ?>"><?php echo HEADER_TITLE_LOGOFF?></a></li>
    <li><a href="<?php echo zen_href_link(FILENAME_ACCOUNT'''SSL'); ?>"><?php echo HEADER_TITLE_MY_ACCOUNT?></a></li>
<?php
      
} else {
        if (
STORE_STATUS == '0') {
?>
    <li><a href="<?php echo zen_href_link(FILENAME_LOGIN'''SSL'); ?>"><?php echo HEADER_TITLE_LOGIN?></a></li>
<?php } } ?>

<?php if ($_SESSION['cart']->count_contents() != 0) { ?>
    <li><a href="<?php echo zen_href_link(FILENAME_SHOPPING_CART'''NONSSL'); ?>"><?php echo HEADER_TITLE_CART_CONTENTS?></a></li>
    <li><a href="<?php echo zen_href_link(FILENAME_CHECKOUT_SHIPPING'''SSL'); ?>"><?php echo HEADER_TITLE_CHECKOUT?></a></li>
<?php }?>
</ul>
</div>
<div class="navMainSearch forward"><?php require(DIR_WS_MODULES 'sideboxes/search_header.php'); ?></div>
<br class="clearBoth" />
</div>
<!--eof-navigation display-->
and comment it out.