I am looking for the title of a move I think came out between 1967 and
1973.  The protagonist is a young man who leaves his family to live by
himself in the woods.  In the opening of the movie, he leaves his
parents a note saying he knows how to survive in the wild better than
most men.  Early on he tames a peregrine falcon that he uses for
hunting.  The rest of the movie is about his struggles to survive
alone and his efforts to point out the benefits of his lifestyle to
strangers he meets in the forest.

Hi Statman!

The movie you remember is the 1969 movie My Side of the Mountain.

Below you will find references where you may verify that this is the correct film.

From Amazon:

"My Side of the Mountain," based on the book by Jean George, is the
unique adventure of 13-year-old Sam Gribley. Sam's hero is naturalist
poet Henry David Thoreau, so Sam writes a note for his folks, packs up
and leaves home for the challenge of wilderness living. Realizing his
dream, Sam feeds himself, builds a makeshift home and learns to live
in harmony with nature--miles from civilization.?

?I saw this film when I was a child. It inspired me, or maybe it awoke
the natural side in me. I will never forget his naturalist bedroom ( I
wanted one just like it), His scary but confident journey on his own,
the tree where he lived and his flying companion, a Peregrine
Falcon...how cool was that for a young boy??

?The worst change of all is the death of Sam Gribley's falcon,
Frightful, by a hunter in the middle of the film.?

Amazon.com
http://www.amazon.com/exec/obidos/tg/detail/-/B0001FGBM0/102-0052097-1036961?v=glance


The film was based on the book by Jean Craighead George.

?This book is about a boy named Sam Gribley. Sam decides to go live
off the land on the abandoned Gribley farm in the Catskills.?

?At first, Sam lives all alone, until he captures a baby Peregrine
Falcon named Frightful. Sam knows all about the roots, nuts, bulbs,
and berries on the mountain, so he has no trouble finding food. He
trains the peregrine falcon to hunt for him, and over time begins to
learn the ways of the animals.?
http://www.ga.k12.pa.us/academics/ls/superreader/title/M/mysidemountain.htm


Search criteria:
Movie OR film tames falcon lives alone forest OR woods OR wilderness
"My Side of the Mountain" peregrine falcon


I hope you find this helpful and if there is anything that I've
written that needs clarification, please ask before you rate this
answer.

Best regards,
Bobbie7

Very quick and thorough research

Thank you for your rating and tip!
--Bobbie7