A flexible package of low moisture permeability suitable for packaging moisture sensitive materials and devices such as bioabsorbable surgical staples and clips and instruments containing these devices includes a first panel fabricated from a substantially transparent polymeric laminate film possessing an inorganic moisture vapor transmission barrier layer, the first panel having a measurable moisture vapor transmission rate and being bonded along its edges to the edges of a second panel fabricated from either (i) a transparent flexible polymeric laminate film possessing an inorganic moisture vapor transmission barrier layer which is the same as, or is different from, the film of the first panel; or (ii) an opaque, flexible metal foil laminate to form a contents-enclosing pouch therebetween, the pouch containing a quantity of desiccant and at least one sterile moisture-sensitive material or device, e.g., the aforesaid bioabsorbable staples, clips or instruments containing such staples or clips.