We report new photometry and main-sequence turnoff ages for seven populous
star clusters in the SMC with M-v < -6 and age greater than 1 Gyr, using th
e Wide Field Planetary Camera 2 on board the Hubble Space Telescope. In con
trast to the accepted picture, these clusters appear to have formed in two
brief intervals, the oldest 8 +/- 2 Gyr ago and one during a more recent bu
rst 2 +/- 0.5 Gyr ago. When the ridgelines of the four clusters (NGC 339, 3
61, and 416 and Kron 3) in the 8 Gyr burst are aligned, the dispersion in t
urnoff luminosities is less than 0.2 mag, corresponding to a maximum age sp
read of +/-0.7 Gyr. When the ridgelines of three clusters (NGC 152, 411, an
d 419) in the 2 Gyr burst are aligned, the maximum dispersion of 0.2 mag in
turnoff luminosity corresponds to a permitted age spread of +/-0.2 Gyr. Wi
thin each group of clusters, the entire cluster loci (including red giant b
ranches and clumps) are nearly identical, consistent with a very small spre
ad in metallicity and age. In contrast to the wide dispersion in ages previ
ously reported in the literature, our sample with more precise photometry a
nd age measurements supports a burst-punctuated rather than a continuous cl
uster formation history for the oldest SMC clusters.