The coupled Helmhotz-type differential equations for a general cylindrical structure containing chiral material were transformed into a pair of decoupled equations, and this new set was solved to find expressions for Ez and Hz with the expansion of the complete eigen functions in elliptical chiralwaveguide. There are no pure TE （TM） or even-type （odd-type） modes existing individually in the elliptical structure if Ez and Hz are coupled with each other. The influences of eccentricity and chiral admittance on dispersion of modes are discussed in this paper.