The specific heat of a single crystal of CoCl2·6H2O has been measured with high resolution nearTN= 2.291 K using the continuous heating method. Our data have been fitted to the usual asymptotic form:C/R=A&egr;−&agr;+B, where &agr;,A, andBmay assume different values below and aboveTN. By plotting log (∂C/∂T) vs log (&egr;) for different values ofTNwe obtained values for &agr;′, &agr; from the slopes of linear fits. Limits on the ``unrounded critical region'' were defined by deviations from linearity on these plots. A least‐square fit of the unrounded critical regions was also made. Both techniques yield the same results: the specific heat is rounded over a region about 8 mK wide,TN‐Tmax= 4 mK, &agr;′ = −0.18±0.03 belowTN, and &agr; = +0.32±0.07 aboveTN. We have compared our results with the earlier measurements of Skalyo and Friedberg1on a polycrystalline sample. Our specific heat peak is sharper nearTNand rises to a maximum about 7% higher, but for &egr;>4×10−2the two sets of data agree quite well. Analysis of the rounding of the two peaks was made assuming the existence of subsystems having Gaussian distributions of ordering temperatures. Using this technique, we were able to fit our data in the rounded region quite well, and using the same form for the unrounded specific heat, but with a distribution half‐width twice as large, we obtained good agreement with the data of Skalyo and Friedberg.