Brisbane City Council has evicted a small Nepalese charity from its heritage-listed building after it failed to meet rental payments.

The United Hands Foundation Australia won the bet for the space in 2016 after Brisbane lord mayor Graham Quirk announced the engine room should be allocated to a charity run organisation.

Mr Quirk declined calls for him to personally cover the cost of the unpaid rent, and council says the charity failed the community by neglecting to take advantage of payment plans, business coaching and mentoring services.