Meinke's published books include:[5]
- Unheard Music: Stories (2007)
- The Contracted World: New & More Selected Poems (2006)
- Zinc Fingers: Poems A to Z (2000)
- The Shape of Poetry: A Practical Guide to Writing Poetry (1999)
- Scars (1996)
- Campocorto (Sow's ear) (1996)
- The Piano Tuner: Stories (1994)
- Liquid Paper (1992)
- Far from Home (1988)
- Night Watch on the Chesapeake (1987)
- Underneath the Lantern (1986)
- Trying to Surprise God (1981)
- The Rat Poems: Or, Rats Live On No Evil Star (1978)
- The Night Train & The Golden Bird (1977)
- Lines from Neuchatel (1974)
- Very Seldom Animals (1969)
- Howard Nemerov (1968)
- The Legend of Larry, the Lizard (1968)