"For more than 40 years, Nelson worked on numerous projects featuring Jim Henson's Muppets, including the TV series Fraggle Rock.
Nelson, who suffered from emphysema, died on Thursday in Cape Cod, Massachusetts.
A Sesame Workshop statement said he would be remembered for "the laughter he brought to children worldwide".
He did other work but he is best remembered for playing the and voicing the count which he did from 1972 until his death although he apparently ceased operating the puppet in 2004.
And now, some clips:
Rest in peace Jerry!