An engineered strain of the oleaginous yeast Yarrowia lipolytica capable of producing greater than 5.6% docosahexaenoic acid acid (DHA, an w-3 polyunsaturated fatty acid) in the total oil fraction is described. This strain comprises various chimeric genes expressing heterologous desaturases, elongases and acyltransferases and optionally comprises various native desaturase and acyltransferase knockouts to enable synthesis and high accumulation of DHA. Production host cells are claimed, as are methods for producing DHA within said host cells.