In Malaysia, two Russians were jailed for a road bill in which the child was swung up and thrown in the air.
The couple is questioned about alleged abuse of the four-month-old girl. Police said AFP news agency.
A video of one of her performances has become viral in recent days, prompting the police to take action.
At the end of the 20th century, the parents travel through Southeast Asia as street musklers.
The 90-second video was uploaded to Facebook by a user who described it as an "irresponsible act that can literally lead to injury". Urgency that the police should arrest her.
The clip shows a man holding a baby by the feet, swinging it between his legs and lifting it over his head.
He also throws the baby in the air several times and lets it go.
Next to him is a group of other Europeans playing and chanting instruments. The Facebook post was viewed more than 28,000 times.
Facebook said it did not shut it down because "it can help save the child in question".
The video can still be viewed online, but with the warning that "it may show violence against a child or a teenager".
The police arrested the couple during another performance in a street in Kuala Lumpur.
"We detained her on Monday for questioning her about the alleged abuse of her four-month-old baby," Kuala Lumpur's chief of police Mazlan Lazim told AFP.
no signs of injury.
Most comments on the Facebook thread express the shock of treating the baby and show that parents earn money with their child.
One comment says that similar baby gymnastics is legal in Russia and is not uncommon there.
Although controversial also in Russia, some believe that the exercise helps the baby to develop faster.
Other comments also express their anger that the couple is apparently traveling in Southeast Asia begging for money.
There is a growing trend for Westerners to travel in poorer Asian countries, begging for money and other support to sustain their journey.
Often referred to as beginners, they are increasingly causing confusion or anger among the local population.