Insert the following code the functions.php file of your active theme. This code disables all the updates notifications regarding plugins, themes & WordPress completely.
function remove_core_updates(){
global $wp_version;return(object) array(‘last_checked’=> time(),’version_checked’=> $wp_version,);
}
add_filter(‘pre_site_transient_update_core’,’remove_core_updates’);
add_filter(‘pre_site_transient_update_plugins’,’remove_core_updates’);
add_filter(‘pre_site_transient_update_themes’,’remove_core_updates’);