Add your facebook like page box on your web site or blog. You can also promote your fb page to your other social media account. You should also update your facebook page timeline on a regular basis with new posts, updates, pictures, interesting news and polls
This is an interesting topic and I would like to share my views.
If you are maintaining an online grocery store and trying to get likes to your shop's Facebook fan page, the first thing you must do is email your existing customers. In the email, convey them about your page and ask them to like it to get all the latest product and service updates from now on. If they are your happy customers, they will surely do this and often visit your page to check updates. They will also share your page link with their friends and this will increase your likes and add new fans to your page.
So post regularly in your page, and try to come up with attractive product images and their specifications that attracts your fans and most importantly do reply to their comments. An active interaction with your fans proves that your page is active and they can soon get any sort of help if needed. This is a proven method believe me and it has worked for many I have seen.
There are some tips to increase likes. Hope these will helpful for you.
Be an Active User.
Post attractive images, views with your niche related.
Proper replies of users comments.
Run Competitions and Events.
Put Facebook Page badget in your blogs and websites.
Invite your friends or clients to like your page.
You can also promote your fb page to your other social media account. You should also update your facebook page timeline on a regular basis with new posts, updates, pictures, interesting news and polls
Try to share engaging content on your Facebook page which your audience really need.
Post entertaining content and make them enjoy your updates. When people will start engaging in your shares then will also start sharing , liking and commenting on your posts on Facebook which will help you to increase genuine likes on your Facebook Page.