The government, however, says asylum seekers on Manus and Nauru have adequate health care, with 60 medical staff employed on rotation on the islands.
"I'm going to be engaged in very clear and direct messaging to anyone who thinks they should get on a boat", Mr Morrison said.
"I believe that we can keep our borders secure, we can uphold national security but still treat people humanely", Shorten told Parliament.
"We have approved putting in place the reopening of the Christmas Island detention facilities, both to deal with the prospect of arrivals as well as dealing with the prospect of transfers", Morrison said.
Mr Morrison said the law would weaken the nation's tough border policies and embolden human traffickers.
'He has no strength on this issue and he can not be trusted to follow through on any of the border protection measures that our government has put in place'.
The U.N. refugee agency, in a separate statement praising Muhamat's advocacy work, said that UNHCR "continues to urge that solutions be found for all refugees and asylum-seekers under Australia's "offshore processing" in Papua New Guinea and Nauru as a matter of urgency". Rape victims had endured traumatic late-term abortions. "As they let bikies and criminals and rapists and others stay in the country because they simply don't have the mettle to make the decisions to protect Australia and to keep Australians safe", Mr Morrison said.
"Yesterday was a win for compassion and decency over the politics of fearmongering and hysteria and cruelty that we have seen under this government", he added.
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Sick asylum seekers often have to fight the Australian government in court for permission to be transferred to an Australian hospital.
The amendments were agreed to by the Senate late previous year, after Labor and the crossbench forced a series of measures into a government migration bill. After he left office, the center-left Labor government began holding refugees on Christmas Island. A wooden boat carrying 90 asylum seekers from Iran and Iraq ran onto rocks on Christmas Island in 2010, killing 48.
"The Greens worked with the crossbench and constructively held Labor to account, stopping too much power from remaining in (Home Affairs Minister) Peter Dutton's hands".
Earlier, Opposition Leader Bill Shorten sought to send his own message to would- be asylum seekers.
"The legislation applies for people who are already there [on Manus and Nauru] - it does not apply to anyone new", he told reporters.
Christmas Island is part of Australia, so asylum seekers could be transferred to the facility and still kept far away from the mainland, despite Tuesday's bill passage.
Labour's shadow solicitor general Mark Dreyfus accused Morrison of encouraging "people smugglers to re-start their evil trade", declaring him "not fit to be PM of this country".