A compact CPWfed double T-shaped antenna with multiple layer dielectric substrates is proposed for dual-band Wireless Local Area Network (WLAN) operations. For the proposed antenna, the $$-$$-10 dB return loss bandwidth could reach about $$28.57\,\%$$28.57% for the $$2.45$$2.45 GHz band and $$6.15\,\,\%$$6.15% for the $$5.2$$5.2 GHz band which meet the required bandwidth specification of WLAN standard. To get high isolation and improve the performances of the Multiple-Input---Multiple-Output (MIMO) systems, we suggested using the novel Left Handed Metamaterial with multiple bands called M-band Nested U-Ring Resonator after fractional removal of substrate. An evaluation of MIMO antennas is presented, with analysis of the mutual coupling, correlation coefficient, diversity gain and correlation efficiency. As per results, the proposed solution meets the requirements for practical WLAN applications.