A suitable book publishing company will be found by your agent, if you have one.
If you don't have an agent, then the task of finding a book publishing company is yours. Suggestions:
1. Find books of a similar genre in libraries and bookshops, and note the publishers.
2. Do the same with books online at Amazon and elsewhere.
3. Ask around at writing circles and conferences.
4. Visit Publishers Lunch to see who's doing what. Basic version is free, but $20/month subscription gives access to archives.
5. Subscribe to Publisher's Weekly: $225/year for US citizens and $367 overseas, though your local library may have copies, or can borrow them for you.
Work through the following:
You will need a reputation to stand much chance, but research the following poetry book publishing companies if you want to try your luck anyway:
Many writers will have to self-publish in some form.
An enjoyable of keeping up with 'who's doing what' is through literary blogs, with their literary gossip, reviews, less-than-reverent sniping. Some good listings:
Complete Review. Some 300 listed: authors, academics, publishing companies, etc.
Top Ten. Guardian UK newspaper's listing.
Literary Blogs. Web del Sol's listing
Forbes. A short list: Forbes also has a newsletter.