The error, which saw 222 incorrectly printed letters sent to homes in the borough, was in breach of data rules, the authority has admitted. Council chiefs today apologised for the blunder, which they said was down to human error.
A disabled woman in her 60s, who lives in Telford but does not want to be named, said someone else's name, address and account number had been printed on a form she received from the authority to apply for a council tax reduction.
She said: "I'm disabled and every year I get a form to apply for a reduction on my council tax.
"When I had my letter this year it had someone else's name, address and account number on the form.
"I don't know if my details have gone to someone else either.
"I phoned them up and they said there had been a serious error and they were investigating what had happened.
"That's how I found out it wasn't just me.
"They tell you that your details are going to be safe but then something like this happens.
"I think it's disgusting."
Russell Griffin, spokesman for Telford & Wrekin Council, said letters of apology had already been sent out to residents and a full investigation was under way.
He added: "We can confirm that a data breach has occurred with 222 customer letters being incorrectly printed as double- sided rather than single-sided.
"Each letter should have had a blank reverse but the next customer's details were printed instead. We would like to apologise to our customers for this breach, which was caused by human error.
"We are carrying out a full investigation to establish how this happened and will be reviewing our procedures to see what changes we can make to ensure this does not happen again. A letter of explanation complete with our sincere apologies has gone out to all those affected."
It comes after it was revealed in August that Telford & Wrekin Council had been named as one of the worst authorities in the country for losing control of sensitive personal information.
There were 175 data breaches at the authority between April 2011 and April last year – a figure exceeded only by Sandwell Council (187) and Brighton and Hove Council (190).
Of the 175 breaches, 150 were incidents where information was accidentally sent or made available to the 'incorrect recipient'.
A further eight referred to the accidental release of personal information verbally, while there were seven incidents where documents containing sensitive information were lost or disposed of inappropriately.
For the other 10 incidents, information was lost or stolen.