Dear Let's Encrypt community,
I am currently operating a web service based on Docker, running on a Linux host. My service is accessible to the internet through a public IP address. However, it currently uses insecure HTTP. I would like to know how I can apply a certificate to secure my public IP address along with the assigned port number.
Thank you in advance for your assistance.
Welcome to the Let's Encrypt Community, Shakhizat! 
Let's Encrypt does not currently offer certificates with IP or URI SANs.
For Let's Encrypt you'd indeed need to use a hostname, e.g. your own domain name or a subdomain of a free service, e.g. a DDNS service or e.g. services like Freenom (which isn't such a good choice performance wise) or e.g. https://eu.org/
That said, ZeroSSL offers (free, but limited) certificates for IP addresses, but not through their ACME API.
Certificates can be used on any port number - so, that's not something it "controls".
The normal/simplest way of securing an IP with a certificate entails using an FQDN that you control.
Do you want to securely access the service at that IP by a name or strictly by its' IP?
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