Two problems related to transmission solenoid have been reported for the 2004 Honda Odyssey. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2004 Honda Odyssey based on all problems reported for the 2004 Odyssey.
5/6/14 took my vehicle into the local service station for diagnosis of clunking engine noise. Had to pay $1400 to replace both motor mounts that were completely worn out . Also has to replace the outer tie rods that were worn out creating a completely unsafe vehicle. Less than a week later, the d light went black. Suddenly it came back on along with the check engine light. Took vehicle back to the service station and they now diagnosed it with the p0740 code tcc lockup solenoid. Called several transmission shops that told me the only way to fix this is to get a new transmission at a cost of $3500 and up. This is very discerning that the transmission didn't last longer and this is a known problem with this model vehicle and Honda refuses to issue the recall on all 2004 transmissions. There are service bulletins out there referring to this specific issue. I called american Honda and they refused to assist stating the vehicle is way out of warranty to assist financially. I have had all the service done at the dealer until there was an issue last year with the heating/air conditioner that the dealer was unable to successfully fix after 6 visits and numerous coolant flushes. I have no faith in that local dealership to help. Now I'm stuck with a money pit and can't afford to replace it. Never again Honda. They have certainly lost my loyalty after all this. We dealt with the same issue with the 2003 Acura tls transmissions that were bad, 3 transmissions later and no help from Honda who knowingly covered up their faulty transmission problems and left consumers footing the bill.
Car seemed to suddenly slow down when approaching stop signal. Tried to pull away when light was green, but remained stationary after pressing on gas/accelerator three to four times. Finally was able creep along until I was able to steer into a bank parking lot. Honda dealer diagnosed ;problem as faulty transmission due to overheated/burntout of solenoids.