Thermoplastic molding compositions comprising A) from 10 to 99.8% by weight of a thermoplastic polyamide, B) from 0.1 to 60% by weight of red phosphorus, C) from 0.01 to 4% by weight of a Cu(I) salt or Ag(I) oxide or Cu(I) complex or Ag(I) salt or Cu(I) oxide or Ag(I) complex, or a mixture of these, D) from 0 to 40% by weight of an impact modifier, and E) from 0 to 60% by weight of further additional substances, where the total of the percentages by weight of A) to E) is 100%.