They also claimed the act had created misconceptions around adoption.
The media's fascination with the singer's adoption attempts started over a week ago, yet the star only released a statement on Tuesday night to address accusations that she had broken the law.
‘The coverage creates the impression that inter-country adoption is an easy process, particularly when you have money,' said UK Adoption director Jonathan Pearce.
British Association of Adoption and Fostering (Baaf) media manager Daisy O'Clee said: ‘The press have portrayed Madonna as flouting the law, but thankfully she has finally moved to correct this. If you want to adopt from abroad the rules are as rigorous as they are if you want to adopt from the UK.'
The star's publicist, Barbara Charone, partner at MBC PR, did not comment.