The suspect, who is in the custody of the agency, has been indicted in the killing of expatriates in the country between 2012 and 2013.
Many secret services in various parts of the world have been trooping into Nigeria to interact with the suspect.
Also, the service foiled a terrorist attack on the United States through its active intelligence alert.
The arrest is seen as a significant anti-terrorism breakthrough. United States President Barack Obama telephoned President Muhammadu Buhari to hail the feat, a source told The Nation.
A security source said the arrest had made other security services in various parts of the world to fly into the country to interact with the suspected terrorist.
The suspect is unnamed because he is still “undergoing profiling”.
The source said: “He is still in our custody.
“This suspect was responsible for the killing of some expatriates in the country between 2012 and 2013.
The source also confirmed how DSS intercepted a plot to carry out a deadly terrorist attack on the United States.
The source said: “About six months ago, we burst a terrorist attack that was to happen in the United States. This earned the service a letter of commendation.
“In fact, President Barack Obama placed a call to President Muhammadu Buhari to acknowledge what we did.
“We did not make it a media issue because before you know it, there will be editorials asking us whether we had addressed security challenges in Nigeria before helping the US.
“But the speed with which things are changing and expanding around us, I can tell you that security challenge is becoming more globalised.
“We have been taken into confidence as a nation better than what it was before.”
Also yesterday, it was learnt that the activities of some politicians are under watch by the secret service.
The politicians include a few who are making inciting statements and “beating war drums ahead of 2019 general elections”.
According to the top security source, such politicians were already “turning truth into falsehood” because of desperation for power.
The source added: “This has been a very wonderful year for DSS. We are being challenged but we are not complaining.
“If there is any one group that is dangerous, it is the politicians. They are more dangerous than Boko Haram.
”The way 2019 is being looked at, many knives and sticks are being sharpened because of some people’s interest.
“A politician now throws decorum to the winds because he wants to be president or governor. He is now dishing out stories that will make this country to be burning…
We want to reach 2019 in peace and not in pieces.
“The way they are interested in power without any plans on what to do gives calls for concern. They are turning truth into falsehood.”