Once your story is as good as you can make it, you will most likely want to share it with the reading population by getting it published. While the market for work in rhyme is one of the toughest markets that exist in the publishing field, there are companies that do publish it. This fact can be proven simply by walking into a bookstore’s children section and browsing some of the favorites. Many are in rhyme. Look for the newest books to see which publishing houses have recently published works in rhyme. Check the magazine section in the same department to see what magazines are printing works wrote in this genre.
Two resources that are published yearly for those looking for markets for their work include Writer’s Market and its more detailed sister publication, Children’s Writer’s & Illustrator’s Market. You can also access the Children’s Book Council member’s list online. They update monthly what publishing houses, that produce works for children, are actively accepting submissions and what they are currently looking for.