  We prove the uniqueness of the Ginzburg-Rallis models over $p$-adic local
fields of characteristic zero, which completes the local uniqueness problem for
the Ginzburg-Rallis models starting from the work of C.-F. Nien in
\cite{MR2709083} that proves the non-split case, and the work of D. Jiang, B.
Sun and C. Zhu in \cite{MR2763736} that proves the general case over
Archimedean local fields. Our proof extends the strategy of \cite{MR2763736} to
the $p$-adic case with the help of the refined structure of the wavefront sets
of $\mathfrak {z}$-finite distributions as developed by A. Aizenbud, D.
Gourevitch and E. Sayag in \cite{MR3406530}.
