Parymenopus davisoni is known by various common names including yellow glower mantis and Davison's mantis. It is one of several species known as flower mantises due to their appearance and behaviour which gives them a camouflaged resemblance to flowers. P. davisoni is the only species in the genus Parymenopus. The specific name honours William Ruxton Davison, the curator of the Raffles Museum in Singapore, who provided the type specimen to James Wood-Mason.
This slender species is mainly plain yellow or greenish. The female (38 mm long) is much larger than the male, with three dark spots on the somewhat pointed wings.