Mr Jones, 35, made the comments at a hearing of a man accused of launching a homophobic attack on him in a pub last year.
James Healy, 40, allegedly targeted Mr Jones because of his media profile as an LGBQT rights campaigner and left-wing, anti-racism and anti-fascism activist.
Healy admits the "frenzied" attack outside the Lexington pub on the Pentonville Road in Islington, north London, but denies it was motivated by Mr Jones's sexuality or political views.
The defendant has said he did not know who Mr Jones was, claiming he assaulted him because he barged him inside the pub, spilling his drink, and did not apologise.
The victim suffered cuts and swelling to his back and head, and bruises all down his body in the assault during his birthday night out on August 17.
In his evidence, Mr Jones said: "I'm an unapologetic socialist, I'm an anti-racist, I'm an anti-fascist and I've consistently used my profile to advocate left-wing causes."
The court heard Jones published his first book, Chavs: The Demonisation Of The Working Class, in 2011 and landed a job as a columnist with The Independent the following year.
He moved to The Guardian in 2014 and frequently appears on radio and television on programmes including Newsnight, Question Time and Good Morning Britain.
Mr Jones has almost one million Twitter followers, 125,000 followers on Instagram and 350,000 followers on Facebook.
"What I use these platforms for is to advocate left-wing ideas and a passion and unwavering commitment to opposing racism, fascism, Islamophobia and homophobia," he said.
He added: "I frequently post on LGBTQ rights - I felt a responsibility because The Guardian didn't have any other LGBTQ columnists, I even have the pride flag on my Twitter bio.
"Almost every single day I am the subject of an unrelenting campaign (of abuse) by far-right sympathisers."
He said he received death threats on a daily basis, adding: "It's the combination of being left-wing, gay, anti-fascist - that's everything the far right hate.
"They've come to see me as this hate figure in their ranks."
He continued: "In January last year, I was informed by an anti-fascist organisation I had become one of the main hate figures of online far-right extreme Facebook groups."
Mr Jones said he was regularly targeted online by supporters of English Defence League founder Tommy Robinson and right-wing movement the Democratic Football Lads Alliance.
It's the combination of being left-wing, gay, anti-fascist - that's everything the far right hate
Last year, The Guardian hired a security team and commissioned a report because of the rising threats against Mr Jones online.
Describing the evening before the attack, Mr Jones said: "There were no negative incidents whatsoever, it was a really nice evening.
"My recollection is that I was saying goodbye to a friend and then I was on the floor completely disoriented.
"In those 10 seconds, I don't really remember what happened because I was attacked from behind, I had no sense of what was going to happen."
Mr Jones said over the course of the evening, he had only had two interactions with people outside his social group - both with strangers who had recognised him from his media profile.
He said both exchanges had been words to the effect of "keep up the good work".
When asked about the claim he had spilled Healy's drink, he said: "That absolutely did not happen.
"If I thought I had accidentally spilled someone's drink, I would apologise profusely, I would say, 'I'm so sorry' and I would insist - whether they liked it or not - on buying them another drink."
He continued: "I was completely in control of myself, I'm not someone who gets drunk - I'm quite consistent when I drink.
"I become even chattier than I am now - I appreciate that might be unbearable, but I'm completely in control of my functions."
Following Healy's arrest, a search of his home revealed a photograph of him performing a Nazi salute.
The court heard the photo showed Healy as a teenager but had been printed out in 2015.
Healy, a Chelsea fan, also allegedly had a football hooligan flag adorned with SS symbols and a collection of pin badges linked to white supremacist groups.
One of the items bore the name of the Combat 18 neo-Nazi group, whose stated aims include "execute all queers", the court heard.
A birthday card, featuring a St George's flag, the skull and crossbones and the words "you have been nominated and dealt with by the Chelsea Headhunters", in reference to another hooligan firm, was also recovered.
Healy, who has admitted affray and assault occasioning actual bodily harm, is facing a trial of issue to determine his motivation for attacking Mr Jones.
The judge, Recorder Anne Studd QC, will decide whether the assault was motivated by homophobia or political views.
Healy, from Portsmouth, is due to be sentenced on February 11 along with Charlie Ambrose, 30, from Brighton, and Liam Tracey, 34, from Camden, who have previously pleaded guilty to affray over the incident.
Ambrose and Tracey previously both denied a charge of ABH and the charge was left to lie on file, with prosecutors accepting their actions were not motivated by homophobia.