Adams' manager, Nick Cowan, told 3News the claims were "absurd".
"Let's make it absolutely clear - Drug-Free Sport New Zealand says Adams has never tested positive, never even been accused of doping, and the IAAF the Athletics Federation have tested and found her clean throughout her career."
The claims come after Ostapchuk told Belarusian media her former coach Anatoly Baduyev may be behind the positive results.
Meanwhile the Vice President of the Belarusian National Olympic Committee Sergei Teterin has confirmed there will be a investigation into the Ostapchuk case.
He told state media BelTA the investigation will be carried out by the National Anti-Doping Agency of Belarus and the Belarusian Athletic Federation, while the International Association of Athletics Federations will conduct its own investigation.
Mr Teterin reaffirmed that Ostapchuk is an Olympic champion for Belarus.