The bi-local model of hadrons is studied from the viewpoint;of non-commutat
ive geometry formulated so that Higgs-like scalar fields play the role of a
bridge, the bi-local fields, connecting different spacetime points. We sho
w that the resultant action for Higgs-like scalar fields has a structure si
milar to that of the linear sigma model. According to this formalism, we ca
n deduce the dual nature of meson fields as the Nambu-Goldstone bosons asso
ciated with chiral symmetry breaking and bound states of quarks.