  Topological insulators, featuring bulk-boundary correspondence, have been
realized on a large number of noncrystalline materials, among which amorphous
network, quasicrystals and fractal lattices are the most prominent ones. By
contrast, topological superconductors beyond the realm of quantum crystals are
yet to be harnessed, as their nucleation takes place around a well-defined
Fermi surface with a Fermi momentum, the existence of which rests on the
underlying translational symmetry. Here we identify a family of noncrystalline
Dirac materials, devoid of time-reversal (${\mathcal T}$) and translational
symmetries, on which a suitable local or on-site pairing yields topological
superconductors. We showcase this outcome on all the above mentioned
noncrystalline platforms embedded in a two-dimensional flat space. The
resulting noncrystalline topological superconductors possess quantized
topological invariants (Bott index and local Chern marker) and harbor robust
one-dimensional Majorana edge modes, analogs of ${\mathcal T}$-odd $p+ip$
pairing in noncrystalline materials.
