Sumit Gappa and Vasudev Dass, both in their 20s, were caught from the Ber Sarai area of south Delhi Monday evening.
"Two mobile phones they had snatched in the Govindpuri area were recovered," said Additional Deputy Commissioner of Police P.S. Kushwaha.
Both confessed to having committed many incidents of snatching in Okhla, Govindpuri, Saket, Mehrauli areas of south Delhi as well as neighbouring Gurgaon.
Riding motorcycles, they targeted people in the evenings.
The duo disclosed they were stage artistes and played character roles in "Ramlilas" and other religious functions.