Having achieved promotion from the Ryman North at a canter last term, AFC Sudbury on their 4G pitch started the match in confident fashion with former Clarets striker Luke Callander causing problems for the City defence.
But it was the visitors who carved out the first clear chance of the game when Hugo Skepelhorn latched onto a flick on, only to see his half-volley rebound off the foot of the post.
In an open game of football Sudbury created a couple of half chances through Callander before the Clarets took the lead through Shamir Mullings after he tapped in Bagasan Graham's cross-come-shot at the far post in the 30th minute.
From that point on it was almost all City as Mullings had a chance to double the lead five minutes later, heading over from eight yards out before Anthony Church struck a vicious volley straight down the throat of the home goalkeeper.
Eventually Chelmsford made their pressure pay by doubling their lead four minutes from the break when Chris Bush - who was wearing the captains armband for the evening - curled a delightful free kick up and over the wall and into the bottom corner to make it 2-0.
Minutes later City's trialist goalkeeper was forced into a brilliant one handed save from a Sudbury free kick, but the Clarets were more than worth their two goal lead going into the break.
The second half followed in a similar vein to the first half with City well and truly on the front foot, and if it wasn't for Sudbury's goalkeeper, Garnham, it could have been a landslide.
Rod Stringer made 10 changes on the hour mark and strikers Billy Bricknell and Jake Reid laid siege on the Sudbury goal with Bricknell seeing his header from close range held by Garnham before having another effort late on saved.
Reid had three golden chances go begging, as within the space of five minutes he hit the crossbar, had a far post shot deflected wide before Garnham pulled off the save of the night by clawing Reid's close range header away when it looked destined for the back of the net.
The win means the Clarets have now won all four of their friendlies so far, scoring 14 goals and only conceding two, and now go on to face League 2 side Colchester United at the Melbourne Community Stadium on Saturday.