Mark Gower's low strike from distance put the Swans in front after 63 minutes but Hull hit back just seven minutes later when Corry Evans calmly finished from 12 yards to earn his side a share of the spoils.
Rodgers said: "It's very disappointing having worked so hard to get in front. Some of our play was outstanding. We started the game not so good but we came into it. Our patience and passing was good and paid off and we got into some good areas.
"We got the goal we deserved and it was a wonderful strike from Mark. But then we gave a poor goal away from our own throw-in which has ended up costing us.
"Hull are a good side and very well organised. They had to change which was a great compliment to ourselves. But you can see why they have gone so long unbeaten away from home because they hang on in there.
"We put ourselves in a great position, had control of the game but a poor throw-in and we have found ourselves drawing the game. They are all big games so we have no complaints. We will have to pick up a win elsewhere where maybe we could have drawn."0065C
Source: PA
Source: PA