DOC Arthur's Pass field centre supervisor Chris Stewart said the boy handed over the dead bird, which the school had kept after the incident, and apologised for his actions.
He said both the department and the school were keen to turn the "unfortunate incident" into a positive learning experience for all the students.
"The student and school have expressed their deep regret for the death of the kea and have offered to contribute to conservation projects and kea recovery."
Mr Stewart said the student would give a presentation on kea to the school and help local DOC staff with a project during Conservation Week in September.
The school had also pledged to initiate a whole-of-school project on kea as part of a conservation education programme.
It would investigate assembling the wooden parts of stoat traps in its science and technology classes.
The traps would help DOC's efforts at Arthur's Pass to control stoats - which, along with possums, pose a key threat to burrow-nesting kea.
Kea are protected by law, and under the Wildlife Act killing one is a criminal offence that carries a maximum fine of $100,000 or six months in prison.
But Mr Stewart said the department did not intend to take the matter any further, and he was comfortable everyone involved had learned "a valuable lesson".
"Kea are New Zealand's only alpine parrot and they are endangered. They need all of our help to give them the best chance of survival."
Mr Paton yesterday said he did not think the boy had any malice and was "as shocked as anybody" that it hit and killed the kea.
"The boy involved is very remorseful, but there will be some consequences for his actions.
"The other students on the trip were as upset as anybody and they also feel let down by the mindless actions of one person."