  This work reports superconductivity studies in the intermetallic
Ti$_{0.85}$Pd$_{0.15}$ performed in normal conditions and under hydrostatic
pressure. The crystal structure of the compound has a body centered cubic at
room temperature and atmospheric pressure as unstable $\beta$-Ti phase. X-Ray
diffraction pattern shows space group $Im\bar{3}m$ with parameter $a=3.2226(4)$
\AA and density around 5.6242 g/cm$^{3}$. The superconducting transition
temperature, T$_{C}=3.7$ K was determined from resistance, magnetization, and
specific heat measurements. The two critical magnetic fields, the coherence
length, Ginzburg-Landau parameter, London penetration depth, the
superconducting energy gap, the Debye temperature, the electron-phonon coupling
constant and density of states at the Fermi level were calculated. These
parameters were obtained at ambient pressure. Under hydrostatic pressure, the
magnetic susceptibility measurements show a small increment on T$_{C}$, the
maximum T$_{C}=3.83$ K was obtained at the maximum applied pressure of 1.03
GPa. The slope calculated for T$_{C}$ as a linear function of pressure was
about 0.14 K/GPa, possibly associated with an increase in the electronic
density of states.
