Step 1: Naming the complex.
The given complex is a coordination compound with three triphenylphosphine (PPh\(_3\)) ligands, three water (H\(_2\)O) ligands, and two chloride ions.
Step 2: Apply IUPAC naming conventions.
- "Tri" denotes three of each ligand.
- "Aqua" is used for water molecules as ligands, and "phosphine" is used for the PPh\(_3\) ligand.
- The metal is nickel, and it is in the +2 oxidation state, so we write "nickel(II)".
- The chloride ions are counter ions, and they are added at the end.
Step 3: Conclusion.
Thus, the correct name is "Triaquatris(triphenylphosphine)nickel(II) chloride".
Final Answer:
\[
\boxed{\text{Triaquatris(triphenylphosphine)nickel(II) chloride}}.
\]