The electrical resistivity rho(T) and heat capacity C(T) on single crystals of SrNi2As2 and EuNi2As2 are reported. While there is no evidence for a structural transition in either compound, SrNi2As2 is found to be a bulk superconductor at T_c=0.62 K with a Sommerfeld coefficient of gamma= 8.7 mJ/mol K^2 and a small upper critical field H_{c2} sim 200 Oe. No superconductivity was found in EuNi2As2 above 0.4 K, but anomalies in rho and C reveal that magnetic order associated with the Eu^{2+} magnetic moments occurs at T_m = 14 K.
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