This paper explored the seismic application of superelastic shape memory alloy (SMA) angles in brace-to-gusset plate connections. The study commenced with an experimental examination on the hysteretic behaviour of the hot-formed SMA angle under cyclic tension-compression loadings. The test results indicated that the hot-formed SMA angle possessed excellent self-centring capacity in both tension and compression, even after experiencing buckling behaviour under compression. However, the energy dissipation capacity in compression was lower than that in tension owing to the buckling behaviour. Based on the tested properties of the hot-formed SMA angle, a novel self-centring brace-to-gusset plate connection utilising SMA angles was developed. The hysteretic performance of braced frames incorporating the proposed brace-to-gusset plate connections utilising SMA angles was then numerically investigated. Specifically, the effect of the width of the angle leg and the number of stoppers on the connection performance were examined. The numerical results showed that the braced frames incorporating brace-to-gusset plate connections utilising SMA angles possessed good self-centring ability, confirming the promising potential in seismic applications. The energy dissipation ability of the brace-to-gusset plate connections utilising SMA angles was moderate. Moreover, the buckling resistance of the connection could be enhanced by introducing stoppers within the angle leg, which was more effective than increasing the width of the angle leg.