with each component aligned in substantially planar relative configuration compressed straw panel 1 is attached on first face to a plurality of z channel members 2 via attachment means 10 as with the preferred embodiment said attachment means 10 may be a penetrating fastener such as a nail or screw a strong adhesive such as an epoxy resin or any combination thereof said z channels 2 are then attached to a first gypsum board sheet 3 via attachment means 10 again said attachment means 10 may be a penetrating fastener such as a nail or screw a strong adhesive such as an epoxy resin or any combination thereof said first gypsum board sheet 3 comprises a first outer face of said wall construction as illustrated in fig3 a the space between compressed straw panel 1 and first gypsum board sheet 3 is filled by insulation 4 in the first alternative embodiment said insulation 4 is preferably a non woven material made of rock wool or fiberglass and in a bat form compressed straw panel 1 is attached on second face to a plurality of z channels 2 as illustrated each z channel is then attached to a second gypsum board sheet 3 that comprises a second outer face of said wall construction attachment means 10 between said z channels 2 and said compressed straw panel 1 and between said z channel 2 and said gypsum board sheet 3 can comprise any conventional attachment means such as nails screws adhesives or any combination thereof as illustrated z channels 2 on opposite sides of.