Hi,
Open category PHP file:
ROOT/templates/<yourjoomlatemplate>/html/com_virtuemart/category/default.php
(default.php, defaultlist.php, flexv2.php, flexv2list.php or what ever you are currently using, there are 6 different category browse page layouts and you are using only one of them depends on what ever you chose from VM Configuration)
And find this Line:
<?php if ($this->search !==null ) { ?>
<form action="<?php echo JRoute::_('index.php?option=com_virtuemart&view=category&limitstart=0&virtuemart_category_id='.$this->category->virtuemart_category_id ); ?>" method="get">
<!--BEGIN Search Box -->
<div class="virtuemart_search">
<input name="keyword" class="inputbox" type="text" size="20" value="<?php echo $this->keyword ?>" />
<input type="submit" value="<?php echo JText::_('COM_VIRTUEMART_SEARCH') ?>" class="button" on-click="this.form.keyword.focus();"/>
</div>
<input type="hidden" name="search" value="true" />
<input type="hidden" name="view" value="category" />
</form>
<!-- End Search Box -->
<?php } ?>
And remove them completely.
Then the search form will be removed.
Regards.
Forum Support.