I have added SSL to my website and redirect http non-www to https www with htaccess but sometime https shows in my domain name and sometimes not on browsers. I just want to know whether it's htaccess redirection code issue or SSL issue or anything else. If you ask i can show you my htaccess codes. One more thing, the site is currently added to Google Webmaster Tools as and all the pages are indexed without using SSL. Do I just submit a updated sitemap which has the HTTPS URLs or Do I add a new site as and submit the sitemap with HTTPS urls?

You will need to change your website's programming as necessary to be certain that it will not respond to "http" except to redirect the request to "https."

Then, it might be quite some time ... if ever ... that search engines actually re-index you as "https." If they ever visited your site successfully without it, they will not soon forget the experience.

It's all https on the 5 or 6 pages I looked at.
http went to https...
Links look correct and 2 opened but I only checked for https in the address bar of my browser.

Thank for the response. I am thinking to add https version in webmaster and it's sitemap. Is it right?