A new FinFET memory circuit technique based on asymmetrically gate underlap engineered bitline access transistors is proposed in this paper. The strengths of the asymmetrical bitline access transistors are weakened during read operations while enhanced during write operations as the direction of current flow is reversed. With the proposed asymmetrical six-FinFET SRAM cell, the read data stability and write ability are both enhanced by up to 6.12x and 2.22x, respectively, as compared to the standard symmetrical six-FinFET SRAM cells in a 15nm FinFET technology. The leakage power consumption is also reduced by up to 96.5% with the proposed asymmetrical FinFET SRAM cell as compared to the standard six-FinFET SRAM cells with symmetrical bitline access transistors.