自由诗也有自身的韵律，只是和传统的韵律诗（form poetry）所说的押韵有所不同而已，相互并不矛盾。详见里面：

Free verse closely follows the natural rhythms of speech, even though it's not always rhythmic.

Free verse is often described as following the natural rhythms of speech rather than the musical qualities of poetry. However, free verse can be rhythmic and melodic rather than sounding like natural speech, and it can contain rhymes and other patterns. 

What is Free-Verse Poetry? | Writing Forward

What is Form Poetry? | Writing Forward

Free verse | Poetry Foundation