Do I need a dedicated/static IP address to use an SSL certificate?

Yes, you must have a static IP address for an SSL certificate. If you do not have one, you may be able to assign one via your webserver or you may need to purchase one from your web host if you own/operate your webserver (usually only a few dollars a month).

Related posts:

How can I get a Green Address Bar for my website? I purchased a renewal certificate, but my website still displays the old certificate. What should I do? Why does the website say the name on the security certificate does not match the name of the site? How do I download my code signing certificate?