The present invention relates to a method for hydrogen production and to a method of hydrogen and/or carbon dioxide production from syngas. The method comprises the steps of: (i) providing a gas stream comprising hydrogen and carbon monoxide, (ii) separating at least part of hydrogen from the stream yielding a hydrogen-depleted stream, (iii) subjecting the hydrogen-depleted stream to a water-gas shift reaction, and (iv) separating hydrogen from the stream resulting from step (iii). The method according to the invention improves the conversion of carbon monoxide in the water gas shift reaction and allows to increase the hydrogen production by 10-15% and to increase the overall energy efficiency of the system by 5-7%. The invention further relates to a plant for hydrogen and/or carbon dioxide production suitable for the method of the invention.