The first thing to do is to advertise your gallery through various media. This includes news papers, local radio channels, on the internet via social media sights and blogs. You can also engage email marketing though it will be hard to get the email to all the right people without a database of at followers. Also make sure that you advertise in the local art magazines so that the patrons of art can know of your presence trough a pertinent source.
Inviting artists is another good way of getting people to come to your art gallery. Once the people are aware that known personalities are going to be attending the event, they tend to come. Associating an artist as an ambassador for the gallery can also work wonders.
Good Art Work
Make sure that you have good artwork at your gallery. This is crucial as with all the good PR and hype, if the art on display is not of good quality, people will lose interest and probably will not come back to your place. Research has shown that a person on average will bad mouth a place he or she did not like than spreading a pleasant experience. It does not matter if the art work is of a known artists or new ones, it must be good. Though having work form known names will also help attract people.
If your gallery is having some sort of an event, such as an exhibition opening, you can always please the guests with entertainment such as food and drinks. People tend to have a favourable experience and prefer to go to places where they get a little more than what they came for.