To enable SSL support for lighttpd, you have to do following steps.

Step 1: Enable SSL Module

# lighty-enable-mod
Available modules: auth cgi cml fastcgi proxy simple-vhost ssi ssl trigger-b4-dl userdir
Already enabled modules:
Enable module: ssl

Step 2: Create file /etc/lighttpd/server.pem

# openssl req -new -x509 -keyout server.pem -out server.pem -days 365 -nodes

Step 3: Reload the daemon

# /etc/init.d/lighttpd force-reload

Step 4: Test it with your web browser :)