We present measurements of superconducting transition temperature, resistivity, magnetoresistivity, and temperature dependence of the upper critical field of Ta4Pd3Te16 under pressures up to 16.4 kbar. All measured properties have an anomaly at ∼2–4 kbar pressure range; in particular there is a maximum in Tc and upper critical field, Hc2(0), and minimum in low temperature, normal state resistivity. Qualitatively, the data can be explained considering the density of state at the Fermi level as a dominant parameter.