Allow the upload of SVG files into the WordPress Media Library by adding the following code to your theme's functions.php file.

wp-allow-svgs.php

<?php 

/////////////////////////////////////////////////////////////////////////////////////
////////// Allow SVGs to be uploaded via the Media Centre within WordPress //////////
/////////////////////////////////////////////////////////////////////////////////////

function cc_mime_types( $mimes ){
	$mimes['svg'] = 'image/svg+xml';
	return $mimes;
}
add_filter( 'upload_mimes', 'cc_mime_types' );