The present invention in a preferred embodiment provides systems and methods for a velocity gradient floating turbine and power generation, comprising: a) a floating platform; b) guide vanes; c) a velocity gradient turbine; d) a gas compressor; e) a means to couple turbine and compressor, further comprising a turbine gear and a compressor gear or belt/chain drive; f) at least a pipe; and g) a turbine—generator sub-system; wherein the said floating platform comprises: i. at least two tanks; ii. at least a rod to support the said tanks; and wherein the said turbine—generator sub-system comprises: i. a turbine ; and ii. a generator.