Be active most of the time, and post relevant and interesting content, catching the interest of the audience.
If you are having your own website or blog then insert twitter link button on your webpage, whoever will like your content, will most probably hit the button.
If you are having any YouTube channel then there also you can promote yourself among audience requesting them to follow you.
Promote yourelf on other social media platforms like facebook, google+ etc. Promote your Instagram account on all your marketing materials. This includes your business cards, brochures, signs etc.
Use Geotags. Geotag the uploaded photo with a location. Others in your location might be browsing for photos of nearby places, and as a result, your photo is more likely to be seen by those people.
On Instagram, every defined location has its own page. All photos taken at that location are accessible from that page, so anyone taking a photo of that same location will see yours on the location page as well as their own.
Make sure to geotag the correct locations to maximize the chances of your photo being liked. Incorrectly geotagged photos can result in negative comments.
Do not geotag photos taken at your own home as the location will be visible to everyone.
Use the most popular hashtags. Hashtags allow you to search particular themes and view all the photos that have used a common hashtag. If you use the popular ones, other hashtag fans will end up seeing your photo linked to that hashtag and check out what you posted, especially if your photo is good. This will garner quick attention and help you gain followers quickly. Some of the most popular hashtags are:
tbt (throwback Thursday)