Wiktionary
homorhythm
n. (context music English) A style of music that has the same rhythm throughout
Wikipedia
Homorhythm
In music, homorhythm is a texture where there is a "sameness of rhythm in all parts" or "very similar rhythm" as would be used in simple hymn or chorale settings. Homorhythm is a condition of homophony.
It may also be called chordal style, familiar style, note-against-note style, isometric, and homophonic.