We present the results of a search for pulsed TeV emission from the Crab pulsar using the Whipple Observatory's 10-m gamma-ray telescope. The direction of the Crab pulsar was observed for a total of 73.4 hr between 1994 November and 1997 March. During this period the Whipple 10 m telescope was operated at its lowest energy threshold to date. Spectral analysis techniques were applied to search for the presence of a gamma-ray signal from the Crab pulsar over the energy band 250 GeV to 4 TeV. We do not see any evidence of the 33 ms pulsations present in other energy bands from the Crab pulsar. The 99.9% confidence level upper limit for pulsed emission above 250 GeV is derived to be 4.8 × 10-12 cm-2 s-1 or less than 3% of the steady flux from the Crab Nebula. These results imply a sharp cutoff of the power-law spectrum seen by the EGRET instrument on the Compton Gamma-Ray Observatory. If the cutoff is exponential, it must begin at 60 GeV or lower to accommodate these upper limits.