The incident created panic in the building as both the Chief Minister and his MP wife failed to come out of the lift despite efforts by the CM's security staff.
Officials in the assembly complex said the incident took place because of some technical problem and added that facts would come out only after a thorough investigation.
As the couple could not come out even after 20-25 minutes of struggle, gas masks were requisitioned and an ambulance was kept ready in case of any exigency as an anxious crowd of Vidhan Bhawan employees and officials gathered outside the lift.
Security men and assembly staff heaved a sigh of relief when the duo came out safe.
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CM later tweeted, "Got stuck in lift in Vidhan Sabha for a while. Safe and sound now by God's grace and good wishes of well-wishers".
"Action will be taken against those in charge of maintenance of the lift," the another tweet from @CMOfficeUP said.