But Labor was equally punished by voters and is struggling to gain a second WA senator. Leaked criticism of the party by its lead candidate, union boss Joe Bullock, on the eve of the election added to its problems with union influence and recent revelations of union corruption.
Both leaders are putting on a brave face. Opposition leader Bill Shorten said WA voters were angry at having to vote for a third time and Abbott said the result was "the kind of result you would expect in a byelection".
But the WA election has sounded a warning bell. Although the final outcome is likely to be days, even weeks away, projections suggest both have suffered swings against them of 5 per cent or more.
The Greens appear to have won a 6.7 per cent swing, and PUP a primary vote of about 7 per cent.
Preferences have yet to be allocated, a complex task given the dozens of micro-parties also contesting the election.
On the figures so far available, the Liberals appear to have held two of their three WA Senate seats and Labor one. The Green vote is expected to return Senator Scott Ludlum, ousted last September, and hand PUP its third seat.