Even artists can follow the four P's of marketing: product, price, promotion and place. Think about your work and its audience. Be able to succinctly describe your art work and its market. Decide on pricing for your work and where you wish to sell it. Determine the best promotional opportunities: social media, ads, direct mailing, flyers, etc.
Create your own website to sell your art, or submit your work to online galleries. Write detailed descriptions and upload high quality images to improve sales. Consider selling on websites like Etsy or even Amazon and eBay. Check past sales to see if the website is a good match for your work and price point. Another way to sell your art is through websites such as Zazzle and Cafe Press, where your designs are printed onto merchandise.
If you make fine art, galleries may be an appropriate venue for your work. Check out coffee shops and restaurants, which often display and sell paintings or photographs by local artists. If you make handmade jewelry or other crafts, try to sell your pieces by setting up a booth at arts and crafts fairs or markets. Local gift shops are another possibility. Don't forget to try friends and family who may buy your work or refer you to others.