The proposals are aimed at staving off financial collapse and preventing a possible exit from the eurozone.
Eurozone finance ministers will examine the new proposals, which include pension cuts and tax rises, ahead of a full EU summit on Sunday.
Correspondents say Mr Tsipras's new plan contains many elements rejected in a referendum last Sunday.
He is likely to face opposition from the left of his own Syriza party.
However, a parliamentary spokesman for Syriza, Nikos Filis, said he was confident parliament would give the government the mandate to negotiate the new bailout package.
The coalition government has 162 seats in the 300-strong parliament and also has the backing of many opposition MPs.
