  We present a systematic study on the physical properties of
EuFe$_{2-x}$Ni$_{x}$As$_{2}$ (0$\leq$\emph{x}$\leq$0.2) by electrical
resistivity, magnetic susceptibility and thermopower measurements. The undoped
compound EuFe$_{2}$As$_{2}$ undergoes a spin-density-wave (SDW) transition
associated with Fe moments at 195 K, followed by antiferromagnetic (AFM)
ordering of Eu$^{2+}$ moments at 20 K. Ni doping at the Fe site simultaneously
suppresses the SDW transition and AFM ordering of Eu$^{2+}$ moments. For
$x\geq$0.06, the magnetic ordering of Eu$^{2+}$ moments evolves from
antiferromagnetic to ferromagnetic (FM). The SDW transition is completely
suppressed for $x\geq$0.16, however, no superconducting transition was observed
down to 2 K. The possible origins of the AFM-to-FM transition and the absence
of superconductivity in EuFe$_{2-x}$Ni$_{x}$As$_{2}$ system are discussed.
