Do monkeys have hair or fur?

Hello.

First of all, it must be stated that scientists draw no real
distinction between hair and fur.

See: "What is the difference between hair and fur?" Scientific American, 
http://www.sciam.com/askexpert_question.cfm?articleID=0006E5B1-64B0-1C72-9EB7809EC588F2D7&catID=3&topicID=3
Or the same article stored by archive.org 
http://web.archive.org/web/20010302175622/www.sciam.com/askexpert/biology/biology45/

Ask a Scientist! "What is the difference between hair and fur?"
http://web.bvu.edu/faculty/schweller/askascientist/sciencequestions1.html

Moment of Science: The Hairy Truth
http://amos.indiana.edu/library/scripts/fur.html

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Now, getting back to your question...

Monkeys do have "fur."  Numerous sources refer to monkey hair as "fur."

See: 

"Spider Monkeys... Their fur color can be black, brown, golden, red, or tan."
source: CalTech
http://www.srl.caltech.edu/personnel/krubal/rainforest/Edit560s6/www/spidermonkeypage.html

"Douroucoulis, or Night Monkeys... The body is so heavily covered with
fur that it appears to be short and thick."
source: Mammals of the World
http://www.press.jhu.edu/books/walkers_mammals_of_the_world/primates/primates.cebidae.aotus.html

"...capuchin monkeys... rub their fur with crushed millipedes"
source: The Primates: New World Monkeys
http://anthro.palomar.edu/primate/prim_5.htm

Nonetheless, as mentioned above, it's important to remember that
monkey fur is  hair.
Here's an enlarged image of a monkey hair:
http://micro.magnet.fsu.edu/primer/techniques/polarized/gallery/pages/monkeyhairsmall.html
From an interesting web site that compares the hair/fur of many
mammals Hairs Polarized Light Digital Image Gallery, hosted by Florida
State University
http://micro.magnet.fsu.edu/primer/techniques/polarized/gallery/pages/hairsindex.html

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search strategy:
"between hair and fur"
"between fur and hair"
monkey, fur
monkey, hair
"monkeys have fur"

I hope this helps.

This was for help in my 9 yr old's school project & the wording was
perfect, he could understand what was being said in the answer.  Thank
you for your help.