a university degree with honors
"She graduated summa cum laude and received her honours in physics last year."
plural of honour
"The university presented him with several academic honours during the graduation ceremony."
Third-person singular simple present indicative form of honour
"The Queen honours the veteran by shaking his hand at the ceremony."
In plain English: To honour someone means to show them deep respect and appreciation for who they are.
"She will be honoured to meet the president during her visit next week."