How to remove the "Add new Comment" link from book pages
I did get the solution and was able to remove the "Add new comment" link, from the links area. I just went to comment module and commented the following lines of code on line #675.

// Show the "post comment" link if the form is on another page, or
// if there are existing comments that the link will skip past.
if ($comment_form_location == COMMENT_FORM_SEPARATE_PAGE || (!empty($node-&gt;comment_count) &amp;&amp; user_access('access comments'))) {
  $links['comment-add'] = array(
    'title' =&gt; t('Add new comment'),
    'attributes' =&gt; array('title' =&gt; t('Share your thoughts and opinions related to this posting.')),
    'href' =&gt; "node/$node-&gt;nid",
    'fragment' =&gt; 'comment-form',
  );
  if ($comment_form_location == COMMENT_FORM_SEPARATE_PAGE) {
    $links['comment-add']['href'] = "comment/reply/$node-&gt;nid";
  }
}


I know it is not recommended to modify the core. I have implemented a hook to remove the link.

Solution found
The following hook in my custom module works for me :)

function MODULENAME_node_view_alter(&amp;$build) {
  if ($build['#node']-&gt;type == 'book') {
    unset($build['links']['comment']['#links']['comment-add']);
  }
}