Insurance claims are being lodged in WA today as the remains of an unusual out-of-season cyclone continue to bring strong winds and rain to the state.

Ex-Cyclone Mannga swept south over the weekend, toppling trees and leaving some 50,000 Western Power customers without electricity last night as it reached Perth and the southwest.

The Insurance Council of Australia says around 300 claims have been lodged so far.

Cyclone Mannga formed near the Cocos Keeling Islands late last week, becoming a Category One storm before moving toward WA.

The Bureau of Meteorology says a wind gust of 132km/h was recorded at Cape Leeuwin early this morning. Widespread severe weather is expected to continue in southwestern parts of the state today, with warnings issued for locally destructive winds and abnormally high tides.