They were detained in the Upper Galliagh Road area on Monday afternoon.
They were also arrested on suspicion of attempted possession of a Class B drug, and attempted possession with intent to supply.
They remained in custody overnight.
Chief Inspector Tony Callaghan, the Foyle area commander, said Monday’s arrests were the latest for suspected drugs offences
Three other arrests were made over the weekend.
A 39-year-old man has been charged with drugs offences following an incident in Derry at the weekend. Police made an arrest when officers were called to Kingsmere Gardens on Sunday afternoon.
The man was charged with possession of Class A and Class B drugs, as well as making threats to kill and threats to damage property.
And a 41-year-old man is to be reported to the Public Prosecution Service for allegedly possessing a Class B drug at Ballycanice Close, Eglinton, on Saturday evening.
An 18-year-old man was arrested on suspicion of possessing a Class A drug and possessing it with intent to supply.
The alleged offence was detected by police Tactical Support Group officers at Strand Road on Friday night (19th). A quantity of suspected ecstasy was seized and the man was later released on bail pending further enquiries.
A 20-year-old man has been charged with burglary and common assault.
The charges follow an arrest at Glenabbey Drive in the early hours of Saturday, 20th.