He and fellow handlers have been keeping a low profile in recent days after city authorities launched their toughest bid yet to rescue the animals which they say have been kept for years in squalid conditions.
Tied to leashes and forced to wear doll masks and beg for money as they totter along on their hind legs, the performing monkeys have long been a common sight in teeming, traffic-clogged Jakarta.
"This has become an international issue," Widodo said. "Please have pity for these monkeys who have been abused by their owners."
After taking power in October last year, he ordered officials to step up efforts to get the monkeys off the streets, but the campaign that got under way this week is his most ambitious yet.
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A central part of it is offering compensation of one million rupiah (around USD 90) to every handler from whom a monkey is seized, as well as offering to train them in new professions.
The rescued monkeys "were stressed, some tried to attack and some recoiled when we approached them", vet Valentina Aswindrastuti from the Jakarta quarantine facility told AFP. "They also had swollen gums and rotten teeth."
The monkeys, known in Indonesian as "topeng monyet", which means "masked monkey", are typically in bad health after being kept for years in cramped, filthy cages.
They also suffer from being trained to stand on two legs like humans, with their necks hung from wires and their arms bound.
The Jakarta Animal Aid Network (JAAN), which has helped to rescue the monkeys in the past and has campaigned vigorously on the issue, praised the offer of cash compensation as "the best solution yet from the government to stop monkey abuse".