Estimated value of the project is £20m.
The works required also include external landscaping, relocation of existing incoming site wide services and other ancillary works.
Interested contractors have until 13th July 2016 to register and invitations to tender will be sent out later that month.
The university anticipates making the appointment of the preferred contractor to carry out the pre-construction stage services on or around 21st September 2016.
Willmott Dixon has been working on the campus for the past couple of years, building a new £46m library, which is set to open this summer.
Further information about the new science building is included in the procurement documentation which is at https://in-tendorganiser.co.uk/universityofbedfordshire/aspx/ITLogin.aspx