Did some research and came out with a TSB for this problem.
WINDSHIELD WIPERS DO NOT PARK OR SHUT OFF TECHNICAL SERVICE BULLETIN
Reference Number(s): 00-031, Date of Issue: May 16, 2000
HONDA: 1998-2000 Civic
CATEGORY: Body Electrical APPLIES TO: 1998-1999 Civic - All 2-door models; 2000 Civic - 2-door models from VIN 1HGEJ. YL000001 thru 1HGEJ. YL043357
Related Ref Number(s): 00-031
ARTICLE BEGINNING SYMPTOM
The windshield wipers do not park or shut off when you turn the windshield wiper/washer switch OFF.
PROBABLE CAUSE Broken park position reed switch.
CORRECTIVE ACTION Replace the windshield wiper motor.
PARTS INFORMATION Windshield Wiper Motor: P/N 76574-S01-A07, H/C 6094296
WARRANTY CLAIM INFORMATION In warranty: The normal warranty applies.
Operation number: 740100
Flat rate time: 0.6 hour
Failed part: P/N 76574-S01-A06, H/C 5194139
Defect code: 072 Contention code: B03
Template ID: 00-031A
Skill level: Repair Technician
Out of warranty: Any repair performed after warranty expiration may be eligible for goodwill consideration by the District Service Manager or your Zone Office. You must request consideration, and get a decision, before starting work.
Wednesday, September 10th, 2008 AT 2:04 PM