Many on social media pointed out that Trump's rebuke comes just months after the U.S. president pardoned his political ally, Joe Arpaio, who was convicted of criminal contempt in a case involving racial profiling.
Brown granted 56 pardons and reduced 14 sentences on Good Friday and Passover.
According to the Sacramento Bee, the five illegal immigrants pardoned were all facing the possibility of deportation. The governor's office said the immigrants, who had all been convinced of crimes, were responsible for drug-related or other nonviolent crimes.
Chhan was convicted of two counts of misdemeanor domestic violence in 2002 and served about a year in jail. Jerry Brown on Saturday morning, continuing a longstanding feud between his administration and the Golden State over immigration.More news: Lindsay Lohan's Lawsuit Battle With GTA V Creator Take-Two Ends
The pardons don't automatically stop deportation proceedings, but eliminate the convictions on which authorities based their deportation. Maher served five years in state prison and a year in federal immigration custody.
Pheach, who was convicted in 2005 and sentenced to six months, came to the United States at the age of 1 from Cambodia. They include Daniel Maher, who committed an armed robbery at a San Jose auto parts store and was convicted of felony kidnapping, robbery and firearms charges.
For ex-convict immigrants, deportation is a severe punishment that is often unwarranted, said Angelica Salas, executive director of the Coalition for Humane Immigrant Rights, which seeks to change California's laws to help immigrants avoid deportation.
On Friday, Brown pardoned five men - Sokha Chhan, Phann Pheach, Daniel Maher, Daniel Mena, and Francisco Acevedo Alaniz. Alaniz served time for vehicle theft; Pheach and Mena, for possession of a controlled substance for sale. Last year, he pardoned three veterans who had been deported to Mexico and in 2015, he pardoned a man who was fighting deportation after serving two decades for burglary and kidnapping, among other crimes. "Pat" Brown issued 467 pardons and 55 commutations, but there have been long stretches of very few in California.