There are several points/tips to promote WordPress Blog website such as:
• Take advantage of Social Media
• Add a newsletter signup form
• Post Quality Content Regularly
• Optimize your content for search engines
Title & Meta Description
Google Authorship
Internal Linking
Categories & Tags
Image ALT Tags
Anchor Text
User-friendly URLs
Heading Tags Structure
• Use Breadcrumbs
• Use Keywords Effectively
• Get social. Make friends online!
• Be a guest blogger
• Participate in Question and Answer sites
• Speed up your site
• Install Google Analytics
First you have to install some plugins in your website such as Yoast SEO Plugin (its help you in SEO), and social media plugin (easily you can share you page within fb and other social media platform.
Implement On-Page and Off-Page SEO techniques and also Social Media Marketing techniques to promote your WordPress Blog in order to get a huge traffic.