A method for producing a microchannel bundle heat exchanger (1) includes providing a multiplicity of tubular microchannels (2); incorporating the microchannels (2) in a weaving device; interweaving the tubular microchannels (2) with a plurality of warp wires (3) in the weaving device, and generating at least one heat exchanger mat (4) from the tubular microchannels (2) which are connected to one another by means of the warp wires (3); shaping at least one heat exchanger pack (8) from the at least one heat exchanger mat (4), in particular by folding and/or rolling up the heat exchanger mat (4); and adhesively bonding the tubular microchannels (2) at two mutually opposite end sides (9, 10) of the heat exchanger pack (8).