@truewp: If you don’t want to hide and totally remove it from code level then you need to build child theme. For child theme refer to http://catchthemes.com/blog/create-child-theme-wordpress/ and edit the code. I see that you are using Simple Catch theme so, you need to copy content.php in file in your child theme and remove the following code:
<ul class="post-by">
<li class="no-padding-left"><a href="<?php echo get_author_posts_url( get_the_author_meta( 'ID' ) ); ?>" title="<?php echo esc_attr(get_the_author_meta( 'display_name' ) ); ?>"><?php _e( 'By', 'simple-catch' ); ?> <?php the_author_meta( 'display_name' );?></a></li>
<li><?php $simplecatch_date_format = get_option( 'date_format' ); the_time( $simplecatch_date_format ); ?></li>
<li class="last"><?php comments_popup_link( __( 'No Comments', 'simple-catch' ), __( '1 Comment', 'simple-catch' ), __( '% Comments', 'simple-catch' ) ); ?></li>
</ul>
Note: this code in only for Simple Catch Theme. From next time, please post in proper theme forum. This is Adventurous Theme forum.
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