Improvement in search engine ranking increases Alexa ranking.
Below are some tips:
Most important thing is the quality content on your website.
Submit website to search console.
Your website must have quality backlinks.
Increase Search Traffic.
Keep posting regularly.
Share the post on social media.
Follow these suggestions to improve your Alexa ranking via search engine optimization (SEO):
1. Keep posting and sharing on the social channel regularly
2. Publish Quality Content focusing on quality keywords
3. Use MetaData(title, description, keywords) wisely
4. Do Competitive analysis
5. Follow SEO best practices on your official website.
Watch how these tips might help you rank higher in the search engine results.
1) Create quality content on your site.
2) Do on-page SEO and submit your site in google webmaster
3) Create high-quality backlink from the relative websites( Make sure website DA and PA is above 30)
4) Shares your content on social media sites regular (In groups, forums, and pages)
5) Stay consistent in making and posting the website content ( Post regular blogs )
Follow the above steps and it will help you to increase Alexa rank as well as get traffic to your site.
Pretty good list for any site looking to gain a foothold in search rankings. Though I suggest also to maybe hire or ask for help in maintaining this, as it takes a lot more time than it seems and its good to keep one person working at it constantly.