Essex Police said such offences are “unacceptable” during this “challenging time” after reports of officers being coughed at and assaulted.
The pair from Warrington, Cheshire, have been arrested on suspicion of manslaughter and conspiracy to traffic people.
Ex-superintendent Leroy Logan said tackling the "tidal wave" of people risking their lives to enter the UK is "not just a policing issue".
The 39 individuals found dead in the back of a lorry in Essex were all Chinese nationals, it has emerged.
A 25-year-old man, named in reports as Mo Robinson from Co Armagh, Northern Ireland, remains in custody after 39 bodies were discovered.
A man who chased a supermarket worker around an Aldi while holding a knife has been jailed for 18 months.
Michael Butler confronted his fellow motorist in a street and pulled a gun on him because he was driving too fast
West Ham United are being asked by Essex Police to stop calling emergency services when their team loses.
Police spokesperson said 'Her actions were reckless and I am glad she will be off our roads'.
Jamie Johnson, Robert Flint and Joshua Flint drove into shop windows and tried to drag away equipment by force
Mario Tavasoli has been sentenced to a 19-month driving ban and fined £592
The entertainer has sued the police force for holding him in 2007 during an investigation into the death of Stuart Lubbock
A baby boy has died in an attack by a dog on Harwich Road, while another has suffered life changing injuries