Direct measurement of intensity and photographic subtractions of simultaneous Doppler filtergrams at Hα±0.3 Å in a time-lapse sequence of McMath 11482 has shown velocity oscillations in sunspot umbrae. These oscillations exhibit the following characteristics: (a) A characteristic oscillation frequency for each umbra, with the periods ranging from 145±10 s to 180±10 s. (b) A duration of at least 8 cycles. (c) A Doppler shift of 10 km s-1. (d) An oscillating element size of 3″ or less. (e) A visibility to a radius vector of about 0.9.