The Associated Press and CNN cited law enforcement officials as saying someone was in custody, but police and the FBI in Boston denied the reports.
Earlier, officials reportedly said a suspect had been identified from security video by the race finish line.
A press conference is due to be held at 17:00 ET.
Police and journalists arrived at a courthouse in Boston amid confusion over whether a suspect had been held in connection with the attacks, which killed three people and left more than 170 injured.
“Contrary to widespread reporting, there have been no arrests made in connection with the Boston marathon attack,” the FBI said in a statement.
“Over the past day and a half, there have been a number of press reports based on information from unofficial sources that has been inaccurate.”
The Associated Press reported that the anonymous law enforcement official who was the news agency’s source for the report that someone was in custody had insisted it was true, even as it was widely disputed.
President Barack Obama, who plans to attend an interfaith service on Thursday in honor of the victims in Boston, labeled the attack an act of terrorism.
Investigators have been sifting through thousands of pieces of evidence, ranging from video recorded on mobile phones to fragments of shrapnel removed from the victims’ legs.
Officials said a circuit board and battery pack – parts of a triggering mechanism – had been recovered and the lid of a pressure cooker, apparently blown off during the explosion, was found on the roof of a nearby building.
The bombs are believed to have consisted of explosives placed in 1.6-gallon (6-litre) pressure cookers, one with shards of metal and ball bearings, the other with nails.
Nobody has claimed responsibility for the bombs, which a source said had been placed in black bags and left on the ground.
Doctors treating the wounded say their injuries indicate that the bombs contained metal shards and other shrapnel. A number of victims have had limbs amputated.
Boston Medical Center trauma surgery chief Peter Burke said hospitals were saving “large quantities” of fragments extracted from victims for the police. They include metal, plastic, wood and concrete.
“We have a lot of lower extremity injuries, so I think the damage was low to the ground and wasn’t up,” Dr. Peter Burke said.
“The patients who do have head injuries were blown into things or were hit by fragments that went up.”
At least 58 of the injured have been released from various hospitals around the city, according to AP.
Of those that remain, a five-year-old child, a nine-year-old girl and 10-year-old boy were among 17 victims listed as in a critical condition.
The first explosion went off close to the finish line at about 14:50 local time on Monday.
Seconds later, as rescuers were rushing to help the injured, another explosion went off nearby.
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