  We present a new picture that the $\alpha$-linear-chain structure for
${^{12}{\rm C}}$ and ${^{16}{\rm O}}$ has one-dimensional $\alpha$ condensate
character. The wave functions of linear-chain states which are described by
superposing a large number of Brink wave functions have extremely large
overlaps of nearly $100\%$ with single Tohsaki-Horiuchi-Schuck-R\"opke (THSR)
wave functions, which were proposed to describe the $\alpha$ condensed
"gas-like" states. Although this new picture is different from the conventional
idea of the spatial localization of $\alpha$ clusters, the density
distributions are shown to have localized $\alpha$-clusters which is due to the
inter-$\alpha$ Pauli repulsion.
