Abstract: In this paper, we construct ten families of conformal minimal surfaces immersed into HP³ by the twistor map π:CP⁷→HP³. The construction is based on Eells and Wood's conclusion in 1983 that the projection of a horizontal harmonic map is also harmonic. Firstly, we give a characterization theorem for horizontal holomorphic surfaces in CP⁷. By this theorem and Eells and Wood's conclusion, we get some conformal minimal surfaces immersed into HP³ by the twisted map.

Key words: quaternionic projective space, conformal minimal surface, twistor map