They established the foundation after Lane's death to support organ donations for children.
The company announced in June plans to build the gold and blue statue.
Disney said it erected the sculpture to spread awareness of the family's foundation.
The commemorative sculpture was installed within the last week, according to reports, near where the reptile pulled Lane Graves underwater as he played in the Seven Seas Lagoon.
Georgian soldier killed, 2 Americans wounded in latest Afghan attack — U.S. military
Trump, according to the NBC report , also said he was considering firing the commander of us troops in Afghanistan, Army Gen. The incident is still under investigation and a joint USA and Afghan delegation earlier visited the area.
It was about 9 p.m. - prime hunting time for alligators - when Lane waded into ankle-deep water and the alligator snatched him by the head and dragged him underwater.
The Thomas Lane Foundation, which was set up by his family after his death, posted a picture of the lighthouse on its Facebook page on Monday. Witnesses tried to save him.
In the accompanying message it said the statue was "created to honour our loving boy Lane". Signs at other Walt Disney World bodies of water did caution visitors about alligators and snakes. Reports indicted the resort had "No Swimming" signs posted, but no warning of the unsafe reptiles.
The Florida Fish and Wildlife Conservation Commission later found the alligator that killed Lane and put the animal down.