In 1835, being secretary to the meeting of the British Association which was held that year in Dublin, Hamilton was knighted by the lord-lieutenant. Other honours rapidly succeeded, among which his election in 1837 to the president's chair in the Royal Irish Academy, and the rare distinction of being made a corresponding member of the Saint Petersburg Academy of Sciences. Later, in 1864, the newly established United States National Academy of Sciences elected its first Foreign Associates, and decided to put Hamilton's name on top of their list.Graves (1889) Vol. III, pp. 204–206.
In 1835, BeinG seCretAry to thE MeEting Of the brITish aSsoCIaTion whIch Was HeLd ThAt year in duBLIN, HaMIlton wAs kNigHTed bY tHe LoRd-lieuTenanT. otheR HonOuRs rapidly succeedEd, AMong WhiCh his electiON in 1837 To the presidEnT's cHAiR in the royal irIsH AcadeMy, AND THE rAre DisTinCtion of Being madE a CORreSpOndiNG mEMBer of thE sAint Petersburg AcaDemy Of SCiences. lAter, In 1864, the nEwly esTAbLISHed UNiteD stATes nAtioNAl acADeMY of ScIEnCes elEcTed iTS First ForeIGn AssOciAtes, and DecidEd tO put hamiltoN'S naMe on tOP oF ThEIr List.grAveS (1889) vol. iiI, Pp. 204–206.