"Due to weather, there will be no matches played at #RG16 today," said the Roland Garros Twitter feed.
There could be more problems on Tuesday with further rain forecast throughout the day before conditions brighten on Wednesday.
Eight last-16 matches planned for Monday plus two more which had already been held over from Sunday night will now be played on Tuesday.
Three quarter-finals are also due to take place Tuesday -- Andy Murray against Richard Gasquet and defending champion Stan Wawrinka in the men's event while Shelby Rogers was to face Garbine Muguruza in the women's singles.
"All cancelled for today -- rain, rain go away," tweeted Czech seventh seed Tomas Berdych who was due to face former runner-up David Ferrer of Spain for a last-eight spot.
This year's Roland Garros was hit by rain delays on the opening Sunday when just 10 of the scheduled 32 opening round ties were completed in a little over four hours of play.
The second day was then hit by another two and a half hour delay. That in turn pushed 12 of the scheduled 66 matches back to the first Tuesday.
Under the original schedule, all of the fourth round was to be completed on Monday, leaving Tuesday and Wednesday for the quarter-finals.
But if there are further delays Tuesday, world number one Novak Djokovic, who is chasing a first French Open to complete the career Grand Slam, could end up playing his last-16 tie Wednesday, quarter-final on Thursday and semi-final Friday.
- Bleak Tuesday -
=================
Djokovic has suffered at the hands of the weather in Paris in the past.
Roland Garros organisers are planning a roof for the
showpiece Philippe Chatrier Court but that will not be ready until 2020.
Djokovic is poised to become the first man to win $100 million in prize money if he makes the quarter-finals for the 10th time.
The top seed tackles Spain's 14th seed Roberto Bautista Agut, boasting a 4-0 career lead over the 28-year-old Spaniard.
In other men's last-16 ties still to be played, Belgian 12th seed David Goffin faces unpredictable Latvian Ernests Gulbis, a semi-finalist in 2014.
Granollers reached the last 16 without hitting a ball when nine-time champion Nadal pulled out of the tournament with a wrist injury.
In the women's last 16, top seed and defending champion Serena Williams will continue her bid for a record-equalling Open era 22nd Grand Slam title.
The 34-year-old takes on Ukraine's Elina Svitolina who is being advised in Paris by Justine Henin, one of Williams' former great rivals on the tour and a four-time French Open champion.
In-form Dutchwoman Kiki Bertens, who knocked out Australian Open champion Angelique Kerber in the first round, faces America's Madison Keys, the 15th seed.
Venus Williams, who was runner-up to sister Serena in 2002, faces Swiss eighth seed Timea Bacsinszky, a semi-finalist last year.
The two fourth round ties that were suspended saw second seed Agnieszka Radwanska 6-2, 3-0 up on Bulgaria's Tsvetana Pironkova.
Sixth seed Simona Halep of Romania was leading Australian veteran Samantha Stosur 5-3.
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