Mary Mordaunt said homeowners were informed by the council of Tuesday's road closure between 9am and 4pm but the decision to shut the road between Birling Gap and Beachy Head caused disruption to locals and tourists because bus services were affected.
The closure was due to the film crew from the Paul O'Grady Show filming a stuntman driving along part of the road in blindfold. The stunt involved Irish illusionist Keith Barry filming a high speed stunt with a celebrity and was the second time the illusionist has filmed at the beauty spot.
Ms Mordaunt said, "The residents of Birling Gap had been notified in advance by Eastbourne Borough Council of the intermittent closure between 9am and 4pm.
"This closure has meant that our half hourly bus service into Eastbourne could not run, the inhabitants of Hodcombe Farm could not leave or reach their home, and even the postman was stopped. The closure was far from intermittent and almost total.
"A great many people - visitors, holidaymakers and walkers who had planned to catch the bus home have been annoyingly inconvenienced. I sincerely hope this is the last such outrage to take place."
A member of staff at the Birling Gap Hotel said some staff were also inconvenienced by the lack of public transport. "Quite a few of us were unhappy because we rely on the buses this time of year. Some of the staff had to get taxis home on the day.
"Everyone managed to come to work on the day but it was inconvenient."
The filming meant the 12A bus service run by Brighton and Hove Buses could not run its full route. It travelled on the Beachy Head Road on the eastern end and then had to turn around at the turning circle by the coach park.
Roger French, managing director of Brighton and Hove Buses, said, "We sort of take a pragmatic view. The inconvenience to residents and bus passengers is regrettable but equally sometimes these things lead to good publicity for the area.
"Sometimes there is a fine balance, we accept there is an inconvenience which is annoying.
"We have some sympathy with the council and we also have sympathy with the residents and bus passengers."
An Eastbourne Borough Council spokesperson said, "All residents and businesses were written to on May 6, advising them of the filming. Follow up telephone calls were made to residents and any concerns raised were dealt with immediately.
"The council ensured that signage was in place one week in advance, giving drivers prior and local users warning. Furthermore the filming crew were instructed to keep inconvenience to a minimum. Residents were allowed access as soon as the road was safe to pass.
"The delivery driver from Royal Mail was stopped in the same way he would be stopped at any set of roadworks — the highway operative checked to ensure it was safe for him to travel and when the all clear was given he was allowed to proceed. This procedure would have resulted in a few minutes' delay at most in the post being delivered.
"Many discussions have taken place between the owners of Hodcombe Farm and the film crew and the council. On every occasion they were told that they would be let in and out of their property once it had been checked it was safe for them to travel along the road.
"The road was closed under a traffic order. The safety of the people working on the road and the residents is paramount and in the time the film unit has been working at Eastbourne Borough Council there has never been any accidents or injuries to crew working on a film.
"The road has only been closed twice for filming in the past 18 months and on both occasions access has always been available to residents."
joanne.smith@trbeckett.co.uk