Based on empirical likelihood method and QR decomposition technique,an orthogonality empirical likelihood based estimation method for the fixed effects in linear mixed effects models is proposed.Under some regularity conditions,the proposed empirical log-likelihood ratio is proved to be asymptotically chi-squared,and then the confidence intervals for the fixed effects are constructed.The proposed estimation procedure is not affected by the random effects,and then the resulting estimator is more effective.Some simulations and a real data application are conducted for further illustrating the performances of the proposed method.