We searched for TeV γ-rays from the remnant of SN 1987A around 5400 days after the supernova. The observations were carried out in 2001, from November 16 to December 11, using the CANGAROO-II Imaging Atmospheric Cherenkov Telescope. The detection threshold was estimated to be 1 TeV, due to the mean zenith angle of 39 o . The upper limits (ULs) for the γ-ray flux were obtained and compared with the previous observations and theoretical models. The observations indicate that the γ-ray luminosity is lower than 10 3 7 erg s - 1 at ~10 TeV.