"Your good wishes build us up," the statement on michael-schumacher.de said.
"Every day we receive hopes for Michael's recovery and are made speechless by the scale of participation.
"We can only say thank you again and again for fighting with us and with him."
There was no mention of how Schumacher is progressing in the treatment he is undergoing at his home in Switzerland after being released from hospital in September.
The driver's relaunched online presence appeared the day after the 20th anniversary of his first ever World Champion title win in Adelaide, Australia.
Schumacher went on to win the Grand Prix championship six more times, becoming the highest-performing driver ever seen in the sport.
The new website reminds visitors of his achievements with a page comparing statistics including his race wins, pole positions and fastest laps with other greats of Formula One.
Fans have been anxious over Schumacher's condition since he suffered severe head injuries in an off-piste ski accident in Meribel, France, in December 2013.
The hospital was beseiged by fans and reporters in the weeks following the injury, leading his wife Corinna to plead to be left alone.
After being kept in a medically-induced coma for months he was revived in June and has since returned to his home in Gland, Switerland.
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