Yes, there are SEO benefits of having a secure HTTP website. In mid of 2014, Google confirmed the slight boost in the ranking of secured websites – that are trusted and certified. Also, the referrer data is preserved when traffic passes to an HTTPS site compare to an HTTP site where it is stripped away and looks “direct” In the past, Google had run few tests, where HTTPS signal showed “positive results” regarding relevancy and ranking in Google’s search results. Though internet community has observed that migrating your website to HTTPS from HTTP in the beginning, could lead to significant drop in rankings and traffic – since Google needs to understand your new https website version again. But eventually, an HTTPS website/pages will have an actual boost in search and will be shown to users by default. A secure and trusted website is the future of Internet, and that’s where the web is moving.