The largest is for a panel of eight contractors to carry out housing new build and refurbishment work in South Wales, worth up to £100m.
The other framework will cover schools and other non-residential building work in the region, through which £60m could be spent over the period.
Mid and West Wales Fire and Rescue Services, Dyfed Powys Police and the University of Wales will also have access to the panel of firms for contract call offs.
Firms have until 10 January to submit PQQs for both frameworks. Further information s available from CCCRCF@carmarthenshire.gov.uk