The 29-year-old goalkeeper joins the Clarets having been the Iron’s first-choice shot-stopper during their relegation season last term.
The former Maidenhead United, Woking, Stevenage and Cambridge United keeper began his career as a youngster with Cypriot club Olympiakos Nicosia. But, due to contract issues, soon moved to join the Glenn Hoddle Academy, where his father - and former England international - Dave Beasant was a coach.
The 29-year-old went on to have an unsuccessful trial with Birmingham City and then joined Maidenhead United in 2011.
A short period with the Magpies was followed by a move to Woking, but only three appearances for the Cards let to a move to Billericay Town.
Beasant returned to the Cards ahead of the 2013/14 season, going to on to make thirty-two appearances during his second spell with Woking.
He then went on to make eight appearances after signing for League Two side Stevenage before then making fifteen appearances for Cambridge United during the 2015/16 season.
Following Beasant’s release from Cambridge at the end of the 2015/16 campaign, the experienced keeper joined Braintree.
In the Iron’s relegation campaign, Beasant appeared twenty-eight times.