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We present a comprehensive study on superconducting properties of Re$_7$B$_3$and Re$_3$B through specific heat, magnetic susceptibility, resistivity, andtransverse and zero-field muon spin rotation/relaxation ($\mu$SR) experimentson polycrystalline samples. Re$_7$B$_3$ (T$_C$ = 3.2~K) is anon-centrosymmetric type-II ($\kappa$ $\approx$ 9.27) superconductor in theweak coupling ($\lambda_{e-ph}$ = 0.54) regime. On the other hand, Re$_3$B(T$_C$ = 5.19~K) is a centrosymmetric type-II ($\kappa$ $\approx$ 34.55)superconductor in the moderate coupling ($\lambda_{e-ph}$ = 0.64) regime. Ourtransverse-field $\mu$SR measurements show evidence for isotropically gappedBCS type superconductivity with normalized gap ($\Delta_0/k_BT_C$) values of1.69 (Re$_7$B$_3$) and 1.75 (Re$_3$B).

Fully gapped superconductivity in centrosymmetric and non-centrosymmetric Re-B compounds probed with $\mu$SR