The pair found themselves in the bottom two and lost the dance-off to West End star Amber Davies and her partner Nikita Kuzmin.
Hasselbaink's departure came as a shock to viewers, as he had achieved his personal best score of 30 the previous night and had not been in the bottom two before.
Fans on social media said that Hasselbaink was “robbed”; they said he embodied the spirit of Strictly and was showing significant improvement.
The remaining 10 couples will return for the Halloween special on 1 November.