Block has worked with Yo-Yo Ma, Bobby McFerrin, Lenny Kravitz, Shakira, The National, Joe Zawinul, Alison Krauss, Rachel Barton Pine, and Mark O'Connor. Block plays with the Silk Road Ensemble. In January, 2014, Block married fiddler and composer Hanneke Cassel. He attended Cleveland Institute of Music and The Juilliard School. He has played second cello alongside Yo-Yo Ma. He also performed in Mark O'Connor's Appalachia Waltz trio for three years. Block has served as musical director for Yo-Yo Ma, Bobby McFerrin, Lil' Buck, Bill Irwin, Marcus Printup, The Silk Road Ensemble, and The Knights.