Boulders and debris fell on the narrow gauge tracks near Pagla Jhora caused by incessant rain and weakened soil structure, a Darjeeling Himalayan Railways (DHR) official said.
Heavy rain and fog on Saturday morning coupled with boulders falling on the tracks led to suspension of the train services mid-way, he said.
While the Darjeeling-bound up train was stopped at Tin Dharia, the Siliguri-bound train from Darjeeling was detained at Kurseong.
"We tried to clear the tracks yesterday but failed, so trains did not move upto their destination. However it will definitely resume on Sunday, "he said.
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Gangmen were working for the restoration of the tracks in Kurseong and a Railway safety team inspected the track.
The Toy Train or DHR, a UNESCO World Heritage Site, one of the major tourist attractions in Darjeeling, was suspended in late 2010 after a landslide destroyed roads and tracks at Tindharia.