Tuned　liquid　damper　(TLD)　can　reduce　dynamic　amplitudes　of　a　structure　under　earthquake.　The　seismic　control　of　horizontal　and　torsional　response　of　a　structure　with　cylindrical　TLDs　was　studied.　The　hydraulic　pressure　model　of　the　cylindrical　TLD　including　pulse　pressure　and　convection　pressure　was　established　with　the　membrane　analog　method.　The　torsional　model　of　the　cylindrical　TLD　was　obtained　based　on　the　quasi-uniform　vortex　theorem.　The　equation　of　motion　for　the　control　system　considering　eccentric　torsion　effect　was　derived　and　the　solving　method　was　presented.　A　10-story　eccentric　structure　with　TLDs　was　analyzed　to　verify　the　control　performance　of　TLDs　for　the　horizontal　and　torsional　coupled　system　under　earthquake.　The　effect　of　pulse　pressure,　convection　pressure　and　vortex　torsional　force　was　analyzed.　The　results　showed　that　the　coupled　response　can　be　reduced　effectively　and　the　vortex　torsional　force　can　not　be　ignored.