The competition is seeking designs to make the mid-terrace and large end-terrace back-to-back houses in Manningham suitable for contemporary living.
The winning designers will receive an £18,000 prize and will be appointed to realise the two designs.
The houses are a stone's throw from another major regeneration project at former silk factory Lister's Mill, led by Urban Splash.
According to the design brief, the council is looking for designs to boost the housing market and encourage people to move into the area, scene of the Bradford riots nearly six years ago.
Adam Varley of Bradford Council's empty homes and housing regeneration team said: 'We are looking for something a bit different that will stimulate interest in the local housing market beyond the mill gates.
'It is time to make terraced housing a more sustainable, exciting and attractive option within the reach of all Bradford residents.'
The deadline for submissions is 27 July. Further information and a preliminary briefing paper can be found at: www.ribacompetitions.com