Members of the 34-strong BMA council voted on 28 June to install Dr Meldrum ahead of two other prominent GPs.
Welsh BMA chairman and BMA ethics committee chairman Dr Tony Calland and East London GP Dr Sam Everington were the other candidates. Dr Everington had been acting BMA chairman since the resignation of Mr James Johnson in May.
Mr Johnson quit after a letter he wrote to The Times newspaper angered junior doctors because it failed to reflect their outrage over the Medical Training and Application Service fiasco.
Dr Meldrum works one day a week as a GP in Bridlington, East Yorkshire, where he has practised since 1978.
He was chairman of East Yorkshire LMC from 1996 to 1999, and was part of the GPC negotiating team that agreed the new GMS contract.
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