Integrated Motor Assist (IMA) battery failures are not uncommon. The IMA battery will require replacement when it fails.
Resources for the Repair and Maintenance of your 2006 Honda Insight
2006 Honda Insight
2006 Honda Insight Problems
The automatic transmission (CVT) can have a "shudder" due to a worn start clutch. Replacing the start clutch should correct this type of shudder condition.
IMA computer software failures. Depending upon the computer it will have to be replaced or updated with a software update from Honda.
2006 Honda Insight Recalls (Recent)
RepairPal Expert Overview:
Honda has recalled 2006 Accord, Civic, CR-V, Element, Insight, Odyssey, Pilot, Ridgeline, Acura MDX, RL, RSX, TL, TSX, and 2007 Honda Fit vehicles because the contact information for the National Highway Traffic Safety Administration (NHTSA) is listed incorrectly in the owner's manual. Honda is contacting dealers and customers to provide them with a postcard containing the correct information.