A precise determination of the temperature dependence of the zero external field F19NMR frequency in the antiferromagnet FeF2has been made over the temperature range from 4.2°K to 0.99966TN. Ferrous fluoride, unlike the previously studied antiferromagnet MnF2, has a large single ion magnetic anisotropy. The present data, which were taken on a high‐quality single crystal with one millidegree temperature control and measurement techniques, were carefully least‐squares fitted to the equation&ngr;19(T)/&ngr;19(0)=D(1−T/TN)&bgr;over ranges &thgr; <T/TN<0.99966. For &thgr;=0.995, it is found that &bgr;=0.333±0.009,D=1.428±0.067,TN=78.373±0.005, while for &thgr;=0.971, &bgr;=0.320±0.001,D=1.341±0.005,TN=78.367±0.001. The present data, which demonstrate the need for precise measurements and analysis over small ranges nearTN, are at variance with the wider‐range power law fits reported recently by Wertheimet al.A Kouvel‐Fisher plot of the present data shows that the apparent value of &bgr; drops rather rapidly for &thgr;<0.95. This behavior is distinctly different from MnF2, where the apparent value of &bgr; varies more slowly. Although no analysis of the data below the critical region has yet been made, its accuracy should prove helpful for comparison with spin‐wave interaction theories.