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Bingham came back from 4-5 down to claim victory with breaks of 93 and 108 and will face either compatriot Judd Trump or Stephen Maguire of Scotland in Sunday's best of 17-frame final.
"I didn't play as well as I did in other matches this week and I had some bad shot selection," admitted Ding.
"I missed key shots to win frames and Stuart just took his chances. Those misses were stupid, like that easy red to the middle in the sixth frame. The blue in the last frame was quite close to the cue ball so it was difficult to see the angle.
"Stuart is a good player. His safety was good and he played better than me today -- when I missed balls he scored heavily."