Spokesman Perry Cooper said the man in his 40s was taken to Harborview Medical Center. His condition was not known.
KOMO-TV reported that the driver was thrown from his equipment -- called a "tug" -- and landed next to the forklift.
Cooper said surveillance video shows the driver slump in his seat before the crash, which might indicate he suffered a medical problem.
Airport operations weren't affected.
Information from: KOMO-TV, http://www.komotv.com/
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