I want to say I saw a sign that said cash only, but I am not totally sure. We were using Disney transport and I glanced at the sign as we drove by. The cost is $10 per day for a car. You can park hop and show your parking pass at the next park.
I can't imagine they would accept credit cards/reward cards at the tolls. I could just imagine the back ups that would be created with cards being rejected and not enough balances on the rewards card.