SEO is the most popular and most important way of promotion. Do this right and you'll increase your website’s visibility in search engine’s organic results. I suggest you to read some SEO guides online.

Lot of nice advices in this thread.

Re: How i promote my Website?
 

It depends on subject of your website. Which field is it in? What is its target audiences? However, technically, you should apply deep linking to your website.
Deep linking is a methodology for launching a native mobile application via a link. Deep link does exactly what it says: take users deep inside a website/application with a link. On desktop, deep linking is the use of a hyperlink that links to a specific content inside a website, rather than the website’s homepage. On mobile, deep linking use a uniform resource identifier (URI) that links to a specific location within a mobile app instead of just launching the app. Specially, if your website is an e-commerce web, you should convert it into native app and apply mobile deep linking. It is especially useful for promotional efforts because it allows you and any third party to open the app when a link is clicked, rather than driving to a website or to your app’s listing on the iOS App Store or Google Play.
So if you want to know more about deep linking, you can read this full article: Mobile Deep Link – Part 1: What is deep link?

There are many ways to promote your website. Such as SEO, SMM and SMO.

There are several ways to promote websites online. You can go for SEO, Social Media Marketing, E-mail Marketing, Search Engine Marketing, Mobile Marketing etc.

What's the objective that you want to achieve by promoting your website?

Through social media like face book,Twitter,Google Plus, Pinterest.....

Do -
*Advert on Adwords.
*Promote on Social Networks.
*Advert on other sites.
*Blog submission, Forum Posting, Article posting etc.

you should use off page techniques , you can get ranked through off page SEO ,

You can do promotion by SEO ON/OFF Page strategies and Google adwords ppc,

Promote in social media, that's the easiest way to become popular on the internet. SEO becomes less and less important nowadays. Still, some good SEO is never a bad thing.

I think, you should do SMO With SEO to get early result.