A gas adsorption concentration apparatus, comprising a housing with an adsorption gas inlet and an adsorption gas outlet, a plurality of adsorption units and a set of movable desorption apparatus, wherein the adsorption units are small fixed-bed adsorbers comprising adsorbents and heat insulation materials, and each of fixed-bed adsorbers being provided with two head ends, all of the adsorption units are arranged in parallel and connected via a supporting connection structure to form an airtight adsorption core such that an adsorbate gas entering the housing from the adsorption gas inlet reaches the adsorption gas outlet only by passing through the adsorption units of the adsorption core, the movable desorption apparatus is composed of a hot air desorption apparatus and a mechanical movement apparatus, wherein the hot air desorption apparatus enables head ends on one side of an adsorption unit group composed of two adsorption units to be respectively in communication with a desorptive gas supply apparatus and a desorptive gas treatment apparatus by means of flexible pipelines, this part of the hot air desorption apparatus is called an IO end, and two head ends on the other side of the adsorption unit group are in communication with a pipeline including a gas heating apparatus; such that a desorptive gas from the desorptive gas supply apparatus passes through the two adsorption units of the adsorption unit group in sequence to the desorptive gas treatment apparatus; during this process, the desorptive gas performs heating, desorption and regeneration on an adsorbent in one of the adsorption units, and at the same time, recovers the heat absorbed by an adsorbent in the other adsorption unit in a desorption process and cools the adsorption unit; and the mechanical movement apparatus supports the hot air desorption apparatus by moving on a horizonal track and on a vertical track and completes connection and switching between the hot air desorption apparatus and each adsorption unit group in sequence by means of telescopic interfaces under the drive of controlled power. fixed-bed adsorbers comprising adsorbents and heat insulation materials, and each of fixed-bed adsorbers being provided with two head ends, all of the adsorption units are arranged in parallel and connected via a supporting connection structure to form an airtight adsorption core such that an adsorbate gas entering the housing from the adsorption gas inlet reaches the adsorption gas outlet only by passing through the adsorption units of the adsorption core, the movable desorption apparatus is composed of a hot air desorption apparatus and a mechanical movement apparatus, wherein the hot air desorption apparatus enables head ends on one side of an adsorption unit group composed of two adsorption units to be respectively in communication with a desorptive gas supply apparatus and a desorptive gas treatment apparatus by means of flexible pipelines, this part of the hot air desorption apparatus is called an IO end, and two head ends on the other side of the adsorption unit group are in communication with a pipeline including a gas heating apparatus; such that a desorptive gas from the desorptive gas supply apparatus passes through the two adsorption units of the adsorption unit group in sequence to the desorptive gas treatment apparatus; during this process, the desorptive gas performs heating, desorption and regeneration on an adsorbent in one of the adsorption units, and at the same time, recovers the heat absorbed by an adsorbent in the other adsorption unit in a desorption process and cools the adsorption unit; and the mechanical movement apparatus supports the hot air desorption apparatus by moving on a horizonal track and on a vertical track and completes connection and switching between the hot air desorption apparatus and each adsorption unit group in sequence by means of telescopic interfaces under the drive of controlled power.