Then you need to optimize your website for organic traffic. What type of organic traffic do you want? SEO? Another way to get organic traffic is to interview an expert, once people start sharing that interview because the person is popular/influential then you'll eventually get organic traffic.
If you're going the SEO route then you need to optimize your website for search engines. Apply some on-page as well as off-page SEO. Study your competition then come up with an SEO strategy that will help you outrank them in search engine results.
You can use tools such as SemRush, Moz, Majestic, Ahres etc. to study your competition.
You also need to study your niche, to find out what type of content most webmasters link out to. Find people who link to other websites or content in your niche and strategies on how you can get those links.
Also do some guest posting, even if it's not on a similar niche but guest posting on closely related high traffic blogs will also result in organic traffic.
Hope that helps.