Brag

DEF: To speak too proudly about what you have done or what you own.

EX: 1. They keep bragging about their son ever since he graduated with honors. 2. You have earned your bragging right after your trip to Cape Horn.

Merriam-Webster Online Dictionary
brag (noun)
1.
a pompous or boastful statement
2.
arrogant talk or manner - cockiness
3.
- braggart
brag (verb)
intransitive verb
transitive verb
to talk boastfully - always bragging about his success to assert boastfully boast
brag (adjective)
- first-rate