Mexican security forces captured Guzman, the 32-year-old son of jailed kingpin Joaquin "El Chapo" Guzman, in the early hours of Thursday morning, prompting hours of unrest and shootouts with gang members, the minister said.
Guzman was extracted by helicopter from the house where he was caught and flown to Mexico City, before being taken to a maximum security federal prison, Sandoval added.
The arrest spurred the powerful Sinaloa Cartel - once headed by El Chapo himself - to goon a rampage, setting vehicles on fire, blocking roads, and fighting security forces in and around Culiacan, the capital of Sinaloa.
Twenty-one other people were arrested during Thursday's operations, Sandoval told a news conference, adding there were no reports of any civilian deaths.
President Andres Manuel Lopez Obrador said there were no immediate plans to extradite Ovidio to the United States, where his father is in a maximum security prison after being extradited in 2017 and found guilty in a New York court.
"The elements (of the case) have to be presented and the judges in Mexico decide," the president said. "It is a process...It is not just the request."No US forces had assisted in Ovidio's capture, Lopez Obrador said.
An enhanced security presence will now remain in place in Sinaloa, on Mexico's Pacific coast, to protect the public, with an additional 1,000 military personnel traveling to the region today, Sandoval said.
Passengers on an Aeromexico passenger flight at Culiacan airport crouched low below their seats as shots rung out around the runway on Thursday.
"As we were accelerating for take-off, we heard gunshots very close to the plane, and that's when we all threw ourselves to the floor," passenger David Tellez said. Aeromexico said one of its plane was hit by gunfire at Culiacan but that no-one was hurt.
The airport was due to reopen later on Friday after being closed due to the violence.
In 2019, a failed operation to arrest Ovidio ended in humiliation for Lopez Obrador's government. At the time, security forces briefly detained Ovidio, triggering a violent backlash from cartel loyalists and leading authorities to quickly release him to stave off the threat of further retribution from his henchmen.
His latest capture comes before a North American leaders' summit in Mexico City next week, which US President Joe Biden will attend. Cooperation over security is due to be on the agenda.
THE EXTRADITION QUESTION
The United States has sought Guzman's extradition for years.
In 2021, the State Department announced a $5 million reward for information leading to his arrest and conviction.
Guzman, known by the nickname "The Mouse," has been charged in the United States with conspiracy to traffic cocaine, methamphetamine and marijuana into the United States. The State Department said he oversaw methamphetamine labs in Sinaloa responsible for producing "3,000 to 5,000 pounds" of the drug per month.
The State Department also said information indicated he had ordered multiple murders, including that of a popular Mexican singer who had refused to perform at his wedding.
Surging flows of the synthetic opioid fentanyl into the United States, where it has fueled record overdose deaths, have heightened pressure to capture Guzman.
The US Drug Enforcement Administration considers the Sinaloa Cartel, along with one other gang, to be responsible for most of the fentanyl inside the United Sates.