A geosynthetic liner may be formed of sheets of substantially liquid impermeable synthetic material such as high density polyethylene. The adjacent edges of adjacent sheets may be lapped over one another to form a lapped joint. The lapped joint may be covered by a relatively narrow seam cover which seals the region between the two sheets. The cover may be formed of a geomembrane layer over a clay layer. The clay layer may be formed of particles of bentonite which are adhesively secured to the geomembrane layer. Thus, the geomembrane liner seam may be sealed by simply unrolling the cover over the lapped joint and covering the sheets and the cover with a layer of overburden.