What do you call a book with collection of poems inside?

A book with a collection of poems inside is called a poetry collection or anthology of poetry.

You can also use more specific terms depending on the type of poems included, such as:

* Verse collection: This term is generally used for collections of poetry that are more traditional in form and style.

* Lyrical collection: This term is often used for collections of poetry that are more expressive and emotional.

* Sonnet sequence: This term is used for a collection of sonnets, often linked by a common theme or narrative.

* Free verse collection: This term is used for collections of poetry that don't follow traditional poetic forms and structures.

The specific title will ultimately depend on the content and style of the poems within the book.