But experts say this probably represents the increasing "culture of complaint" rather than a serious increase in the number of mistakes or other wrongdoings by doctors.
This reflects a steadily rising trend across the past decade. In 1999 the GMC recieved 58 complaints a week, and in 1995 the figure was just 19 a week.
Many are sent on to the separate NHS complaints system, as they concern issues such as waiting times rather than individual doctors.
It is not yet known how many of the complaints will be upheld.
The GMC is planning substantial reforms to try to win back public confidence in the wake of damaging high-profile cases.
Streamlining complaints
It is also trying to find ways to speed up the complaints process, which at present can stretch over years.
A spokesman for the GMC said: "Because we dealt with several big cases last year more members of the public know about us and take grievances to us.
"However, the majority of cases we receive fall outside our remit and are normally taken up by other parts of the NHS."
Despite this, leading doctors say that the soaring level of complaint is leaving the profession demoralised.
Last year saw a steep fall in the number of students applying to become doctors, at a time when the government is urgently trying to boost the numbers entering the NHS.
Dr Trevor Pickersgill, chairman of the British Medical Association's Junior Doctors' Committee, told the BBC: "We have a more consumerist society. People are complaining more about everything.
"There is a lot of doctor-bashing in the press - but we are still one of the most respected professions."
The rising tide of complaints, both to the GMC, which should involve either the conduct or performance of doctors, and to the general NHS complaints system, is unlikely to be stemmed by recent publicity into medical mistakes, such as the fatal injection of a cancer drug into the spine of a Nottingham patient.