The internet giant points out that the so-called 'snooping bill' will force it to break laws in other countries should it become law.
The controversial legislation will force internet service providers and website owners to monitor every page its users visit, and turn the data over to police, tax officials and other security services if deemed necessary.
Twitter claims it cannot guarantee data from users in other territories will not be collected by mistake if the firm is asked to keep tabs on its British user base.
"We would be interested to understand what consideration was given to issues of proportionality in the drafting of this provision as well as some cross-jurisdictional challenges which may arise," Twitter officials wrote in a document on the bill, which will be submitted to the the Commons and Lords committee overseeing the legislation.
"This has the potential to place us in a legally untenable position with respect to privacy, data retention and data protection laws elsewhere in the world."
"While it is one thing for a government which has incorporated the European Convention of Human Rights into domestic law to seek to assert authority over overseas companies, it would be of quite a different order for the government of a less democratic country to seek to exercise similar powers," the firm added.
"In such a case, however, there is a risk that the standing of the UK government and UK companies in resisting such data collection from its own companies could be significantly diluted.
"Indeed, many dissidents abroad, such as Michael Anti in China, count upon Western democracies to lead by example and to pressure their own governments to uphold essential internet freedoms."
Wikipedia founder Jimmy Wales previously hit out at the bill, threatening to encrypt his website's pages if it is passed.