Cross sections for the 7Li(n,n't)4He reaction have been measured in the 7- to 9-MeV energy range. The tritium produced in encapsulated lithium metal samples by fast neutron bombardment was extracted and the activity measured using liquid scintillation counting techniques. The neutron fluence was measured with an ion chamber containing a 238U deposit. This deposit was calibrated by comparing it with standard 235U deposits. As a result, the error in the (n,n't) cross section is insensitive to the 238U fission cross-section error but does depend directly on the error in the 235U fission cross section. The experimental results show that the 7Li(n,n't)4He cross section is very insensitive to neutron energy in the 7- to 9-MeV range, and the value 372 mb (±3.8%) was obtained for the average cross section in this region.