The objective of this study was to examine the effect of supplementation of high linoleic ($C_{18:2}$) oil or high linolenic ($C_{18:3}$) oil to the diet on milking performance and content of conjugated linoleic acid (CLA) isomers in goat milk fat. Forty five dairy goats (Sumnen, 25 d post-partum, $62.5{\pm}1.2kg$) were randomly assigned to three treatment groups with each group of 15 dairy goats. The goats were fed a basal diet (CON) consisting 1.2 kg concentrate and 1.2 kg chopped hay (0.6 chopped alfalfa and 0.6 kg hay) daily with 4% soybean oil (SO) or 4% linseed oil (LO). Daily feed intake was not influenced (p>0.05) but daily milk yield (p<0.001) and milk fat yield (p<0.001) were significantly increased by supplementation of oils. Supplementation of oils decreased the short chain fatty acid, medium-chain fatty acid and saturated fatty acid in goat milk fat while increased trans vaccenic acid (trans-11-$C_{18:1}$, TVA), oleic acid ($C_{18:1}$), $C_{18:2}$, $C_{18:3}$, cis-9, trans-11-CLA (c9, t11-CLA), trans-10, cis- 12-conjugated linoleic acid (t10, c12-CLA), unsaturated fatty acids, mono unsaturated fatty acid and long-chain fatty acid in goat milk fat (p<0.001). Especially, c9, t11-CLA, t10, c12-CLA and ${\omega}-3$ fatty acid ($C_{18:3\;n-3}$) in milk fat were highest when goat fed LO diet. Based on the result, it is suggested that supplementation of linseed oil should be an effective method to increase CLA isomers and ${\omega}-3$ fatty acid in goat milk fat without negative effect on lactating performance.