It joins Major League Baseball and European soccer in putting fixtures on hold following the events.
The European Tour says it will make a statement in due course on the event which is due to start in England on September 28.
The event, staged between the US and Europe, was due to be staged at The Belfry (pictured).
It is not yet clear if the event will simply be postponed or cancelled altogether, but few believe the event will take place so close to the events of yesterday, and while security fears are so high across the Western World.
US golfer Mark Calcavecchia believes the Ryder Cup will be postponed. He said: "We are due to fly out on Sunday week and my guess is that it's too soon after this tragedy.
"We are all devastated.
"We were due to have dinner with the president before setting off but that is not going to happen now. I think you can forget about the Ryder Cup for a few months at least."
Stewart Cink agreed with the sentiments of his American team mate, saying: "I feel a lot less safe about flying to England than I did 24 hours ago."
Mitchell Platts, director of corporate affairs of the PGA European tour said: “We will issue a statement regarding all golf schedules at an appropriate time, but we hope that all involved in our sport will fully understand that at this time our deepest sympathies go to the American people and to the families and friends of all who have lost their lives in this terrible tragedy.”
The tragic events have already played havoc with top events, with all European club competition matches due to take place this week postponed by governing body UEFA.
All Major League Baseball games last night were cancelled and commissioner Bud Selig has said he will make judgements on future games as events unfold.
Meanwhile, the NFL says it will make a decision within the next 24-hours over its games at the weekend.
A number of other events, such as US soccer and college sports were also effected.
The PGA Tour has postponed this week's tournaments for 24 hours because of Tuesday's terror attacks in New York and Washington.
Three events - the American Express Championship in St Louis, the Tampa Bay Classic in Florida, and the Buy.com Oregon Classic - were due to start on Thursday.
They have all been rescheduled to begin on Friday, although this could change depending on further developments.
