If you would like to see your poetry published, here are some resources that will provide you with all the information you need to locate the most suitable literary journal for your work.
If you want to pursue poetry as a long-term occupation, then do please take a look at the Poetry Society of America's website and consider joining.
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Pushcart Prize List
Clifford Garstang is an award-winning author and lawyer. He is also extremely well organized. He keeps yearly lists of Pushcart Prize-winning literary magazines. (The magazines with the highest number of prizes are at the top.) There are 168 magazines listed, with links. For finding the top poetry magazines, you can't do better than this list.
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Poets and Writers
The Poets & Writers Database is an indispensable tool for finding literary magazines. It provides such essential information as whether electronic submissions are accepted, if simultaneous submissions are allowed, reading period, if payment is offered, and circulation numbers. You can filter magazines by poetry or fiction. Magazines are not ranked. So, if you want to know a magazine's standing in the literary world, check it against Clifford's list.
Poets & Writers is the nation's largest nonprofit literary organization serving poets, fiction writers, and creative nonfiction writers. Aside from their database of literary magazines, they post contests, conferences, agents, jobs, and many other valuable resources for writers. P&W is worth joining.
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New Pages
New Pages keeps a huge list of blogs and websites of poets and writers. Blogs have become a permanent feature of the literary landscape. They serve to keep writers informed of the latest news and information, and to share valuable insights and inspiration. If you are just breaking into publishing, the blogs and websites of successful writers also serve as signposts.
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Power Poetry
Power Poetry is primarily geared toward young people, particularly high school students. The website offers a list of 50 places to publish poetry, a map and list of local poetry groups, mentors, and other useful resources. Young people can also post their poetry on the site, and receive comments from readers. Some of these talented young poets have posted hundreds of poems.
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Poetry Society of America
Poets, hark! The Poetry Society of America is your organization! The PSA website features a comprehensive list of literary organizations, a huge list of poetry journals, poetry publishers, contests, interviews of editors of poetry magazines, and much more. Membership dues start at $25 (student rate).