The package was passed to the Met’s counter terrorism detectives, who at the time were carrying out enquiries to establish whether Masood acted alone.
But officers investigating the claims, which turned out to be fake, realised Banyard had sent the notes “out of spite” after a housing dispute.
The 67-year-old was found guilty on Tuesday at Southwark Crown Court of two counts of perverting the course of justice following a week-long trial.
At the same court on Thursday he was sentenced to three years’ imprisonment for these offences along with a restraining order.
He was jailed for an additional two months for failing to appear at court for the May 11 verdict hearing.
A warrant for his arrest was issued at that hearing, and he was subsequently located in Scotland and arrested on May 14.
Commander Richard Smith head of the Met’s Counter Terrorism Command said: “Banyard looked to exploit an extremely tragic and serious situation to try and settle what was a private dispute with his landlord.
“His actions meant that counter terrorism resources were diverted to investigate what turned out to be a completely fabricated story which implicated an innocent man.
“His actions were disgraceful and reckless and I hope this conviction demonstrates how seriously the police and courts take this type of offending.”