  We present research on the superconducting properties of Nb$_{x}$Re$_{1-x}$
($x$ = 0.13-0.38) obtained by measuring the electrical resistivity $\rho(T)$,
magnetic susceptibility $\chi(T)$, specific heat $C_P(T)$, and London
penetration depth $\Delta\lambda(T)$. It is found that the superconducting
transition temperature $T_c$ decreases monotonically with an increase of $x$.
The upper critical field $B_{c2}(T)$ for various $x$ can be nicely scaled by
its corresponding $T_c$. The electronic specific heat $C_e(T)/T$, penetration
depth $\Delta\lambda(T)$, and superfluid density $\rho_{s}(T)$ demonstrate
exponential behavior at low temperatures and can be well fitted by a one-gap
BCS model. The residual Sommerfeld coefficient $\gamma_0(B)$ in the
superconducting state follows a linear field dependence. All these properties
suggest an \emph{s}-wave BCS-type of superconductivity with a very large
$B_{c2}(0)$ for Nb$_{x}$Re$_{1-x}$ (0.13 $\leq x \leq$ 0.38).
