The Noether symmetries and the conserved quantities of a mechanical system with time delay based on Caputo fractional derivatives are proposed and studied. Firstly

the fractional Lagrange equations with time delay are established. Secondly

based upon the invariance of the fractional Hamilton action with time delay under the group of infinitesimal transformations

the fractional Noether symmetric transformations

the definitions and criteria of the Noether quasi-symmetric transformations and generalized Noether quasi-symmetric transformations with time delay are given. Finally

the relationship between the fractional symmetries and the fractional conserved quantities with time delay are studied. At the end

an example is given to illustrate the application of the results.