The tournament made the announcement at 9.30pm local time, about half an hour after Andy Roddick and Juan Martin del Potro had been forced off Arthur Ashe Stadium.
It was a frustrating day for players and fans alike at the US Open as persistent drizzles throughout the day allowed only one match to be completed on each of the three showcourts.
Earlier, the Maria Sharapova-Marion Bartoli match had already been postponed to Wednesday but weather forecasts for the evening had given hope that the rest of the matches would finish on schedule. However, it was not to be - and with more rain forecast through the week, there is a real possibility that the tournament will finish on a Monday for the fifth year in succession.
Current status of all unfinished singles matches
*Marion Bartoli 4-0 Maria Sharapova
*Novak Djokovic 2-0 Stanislas Wawrinka
Andy Roddick 6-6 (1-0) Juan Martin del Potro*
Janko Tipsarevic 5-2 (40-40) Philipp Kohlschreiber*
* denotes server