The Meissner effect of TaSe3 is studied using a SQUID magnetometer. Susceptibility χ does not show any significant variation of diamagnetism, with magnetic field parallel and perpendicular to crystalline b-axis over a low field range of 7.2 mOe to 4.0 Oe. The diamagnetic χ is much less than -3.0×10-3emu/cm3. Superconducting thin filaments are individually isolated above 0.40 K. © 1990, Elsevier Science Publishers B.V. (North-Holland). All rights reserved.