Clematis `Zo09045` derived from an ongoing breeding program by the Inventor at his nursery in Boskoop, The Netherlands. The goal of the selection was to select a hardy herbaceous perennial with uniquely colored flowers that is easy to grow and propagate and that could be grown for different purposes. Clematis `Zo09045` was selected in 2009 and arose from a controlled cross made in 2006 between unnamed and unpatented plants from his breeding program; the female parent designated as No. 20040222 and the male parent designated as No. 20030033.