Are you receiving Secure Connection Failed while accessing https
Firefox uses certificates on secure websites (those that start with https) to ensure that your information is being sent to the intended recipient and can't be read by eavesdroppers. To keep you secure, Firefox will warn you if there's a problem with a site's certificate.
Note that these warnings don't mean that you currently have a security problem; they just mean that you could have one if you access the site they block.
Certificate is only valid for (site name):
(site name) uses an invalid security certificate. The certificate is only valid for (site name).
(Error code: ssl_error_bad_cert_domain)
This error is telling you that the certificate sent to you by the site is actually for another site. While anything you send would be safe from eavesdroppers, the recipient may not be who you think it is.
A common situation is when the certificate is actually for a different part of the same site. For example, you may have visited https://example.com, but the certificate is for https://www.example.com. In this case, if you access https://www.example.com directly, you should not receive the warning.
The certificate is not trusted because it is self signed :
(site name) uses an invalid security certificate. The certificate is not trusted because it is self signed.
(Error code: sec_error_untrusted_issuer)
Self-signed certificates make your data safe from eavesdroppers, but say nothing about who the recipient of the data is. This is common for intranet websites that aren't available publicly.
Bypassing the warning
You can tell Firefox to bypass these warnings. You should only bypass the warning if you're sure that the site is legitimate. Legitimate public sites will not ask you to do this. An invalid certificate can be an indication of a web page that will defraud you or steal your identity.
> On the warning page, click
Or you can add an exception....
> Click
Add Exception.... The Add Security Exception dialog will appear.
> Click
Get Certificate.
> Read the text describing the problems with this site.
> Click
Confirm Security Exception if you want to trust the site.