The council wants to assemble a framework which can carry out work from the design to construction phase across the region.
The four lots up for grabs are a main contractor, quantity surveyor, CDM co-ordinator and structural engineer.
Projects under the deal are expected to be in the range between £250,000 and £9m.
The framework will also be used for building work for Sussex Police.
Up to five bidders will be invited to tender for each lot and firms must express their interest by May 31 to Brighton and Hove City Council Corporate Procurement Room 201, Kings House Grand Avenue Claire Hutchinson BN3 2LS Hove UNITED KINGDOM +44 1273290795 [email protected]