Metamaterial antenna involving a shell of left-handed materials (LHM) and a line source could be a directional antenna with lower RCS. To optimize the performance of the antenna, we studied the effects of the line source position and the properties of LHM shell on the directional radiation. The results show that these factors can greatly change the directional emission of the antenna. To maximize directive emission, one needs to optimize the source position and the size of LHM shell, and to balance the directivity and side-lobe peak levels of the antenna.