query_posts('category_title=News&showposts=1')

    <?php while (have_posts()) : the_post(); ?>

              <div>TOP NEWS <?php previous_post_link('%link', '>', TRUE) ; ?> </div>
              <?php $row = get_post_meta(get_the_id(), 'video');?>
              <?php echo $row[0]; ?>
                <div class="post" id="post-<?php the_ID(); ?>">
                    <a href="<?php the_permalink(); ?>"><h2><?php the_title(); ?></h2></a>
                    <h3>by <?php the_author(); ?></h3>
                </div>
                <?php the_content('Read more &raquo;'); ?>
                <?php previous_post_link('%link', 'Prev post in category', TRUE); ?>

    <?php endwhile;?>
    <?php wp_reset_query();?>
              <?php endif;?>

Am with such codes during my static page. after i click on the previous_publish_link , it is going towards the single page to exhibit the publish. i have to show the publish within the same static page. Anybody have idea?

Automatically, that's what previous_publish_link does. If you wish to load the following publish on a single page then you will have to consider AJAX. It may sound frightening, but it's really fairly simple when utilizing it along with jQuery. Take a look in the .get() function in jQuery.

You will have to allow it to be so clicking the prior button transmits a get request to jQuery, and fills a div using the content of this page.