  Coupled-wire constructions have been widely applied to quantum Hall systems
and symmetry-protected topological (SPT) phases. In this Letter, we use the
coupled one-dimensional nonchiral Luttinger liquids with domain-wall structured
mass terms as quantum wires to construct the crystalline higher-order
topological superconductors (HOTSC) in two-dimensional interacting fermionic
systems by two representative examples: $D_4$-symmetric class-D HOTSC and
$C_4$-symmetric class-BD\1 HOTSC, with Majorana corner modes on the edge.
Furthermore, based on the coupled-wire constructions, the quantum phase
transition between different phases of 2D HOTSC by tuning the inter-wire
couplings is investigated in a straightforward way.
