Pulsar timing data used to provide upper limits on a possible stochastic
gravitational wave background (SGWB). However, the NANOGrav Collaboration has
recently reported strong evidence for a stochastic common-spectrum process,
which we interpret as a SGWB in the framework of cosmic strings. The possible
NANOGrav signal would correspond to a string tension $G\mu \in (4, 9) \times
10^{-11}$ at the 68% confidence level, with a different frequency dependence
from supermassive black hole mergers. The SGWB produced by cosmic strings with
such values of $G\mu$ would be beyond the reach of LIGO, but could be measured
by other planned and proposed detectors such as SKA, LISA, TianQin, AION-1km,
AEDGE, Einstein Telescope and Cosmic Explorer.