Mae nifer o sefydliadau wedi beirniadu'r Ddeddf, gan gynnwys Amnest Rhyngwladol, Liberty a Big Brother Watch. Mae Cyd-bwyllgor ar Hawliau Dynol Senedd y DU a Chomisiynydd Hawliau Dynol y Cenhedloedd Unedig hefyd wedi mynegi pryderon y byddai'r Ddeddf yn peryglu'r hawl sylfaenol i ymgymryd â phrotestio heddychlon.
The Act has received criticism from organisations including Amnesty International, Liberty and Big Brother Watch. The UK Parliament Joint Committee on Human Rights and the United Nations Human Rights Commissioner have also expressed concern that the Act would threaten the fundamental right to engage in peaceful protest.