From wiki.titan2x.com

Virtual hosts

• sudo lighty-enable-mod
• sudo /etc/init.d/lighttpd force-reload

FYI, quote from /etc/lighttpd/conf-enabled/10-simple-vhost.conf

    ## The document root of a virtual host isdocument-root =
    ##   simple-vhost.server-root + $HTTP["host"] + simple-vhost.document-root
    simple-vhost.server-root         = "/var/www"
    simple-vhost.document-root       = "/html/"

• sudo mkdir /var/www/yourdomain
• sudo cp -r allthefiles /var/www/yourdomain/html