She said: "These events are unlawful".
He called the attack "unacceptable", adding: "These officers will be there for them in times of need, so attacking someone who will also be there for you in your own time of need will not be tolerated".
Ms Patel said the incident was particularly wrong given the recent stabbing at a park in Reading where three people died in what police said was a terrorism incident. Other footage from the scene shows men jumping on a police auto and smashing in the windows as officers flee.
"For our officers who are simply doing their duty to be attacked is utterly unacceptable".
Extra numbers were deployed onto the streets on Thursday night, but officers came under attack once again in the Notting Hill area of west London, the scene of a number of unlicensed music events that took place in the capital.
An order giving police powers to stop and search without reasonable suspicion is in place in the area.
In her Sun article she said: "The officers I met this week were poised to deal with whatever they faced.
Liz Hurley and son Damian break silence after Steve Bing's sudden death
Aged 18, Bing inherited a reported US$600m (NZ$927m) from his grandfather, a prominent Los Angeles real estate developer. He is survived by two children - a son with Elizabeth Hurley and a daughter with Kira Bonder .
This is much more about the impact it's having on those communities that these people live in".
She added: "My message to those involved in thuggery, threats and criminal damage is that consequences will follow".
On Wednesday night in Brixton, police vehicles were smashed and officers pelted with bottles during clashes with a large crowd, with Downing Street condemning the "appalling" scenes and Ms Patel calling them "utterly vile".
"Disgraceful scenes can be seen on social media with one video showing a man chasing police away saying, don't come round here bro ... this is what we do".
The commissioner, who noted some injuries may not be reported until after the incident, suggested the number of police injuries is "heading up to 140-odd officers, I think, in the last three weeks".
He told BBC Radio 4's Today programme said: "It can not be right that this level of injury to officers is seen as acceptable".
"Following engagement within the local community we are hopeful that crowds are dispersing".
The force has urged fans to put "safety first" and save their celebrations for when they may be permitted in the future.