We　investigate　dispersion　relations　of　strained　complex　Lieb　lattices　systematically,　based　on　the　tight-binding　method　with　the　nearest-neighbor　approximation　adopted.　We　find　that　there　are　edge　states　for　strained　Lieb　lattices　with　solid　edges,　while　there　are　no　edge　states　for　the　pointy　and　pointy-solid　edges.　Different　from　honeycomb　lattices,　the　PT-symmetric　Lieb　lattices　cannot　be　generated.