Forecasters have warned that persistent rain may lead to some flooding and disruption.
The Met Office said that flooding of a few homes and businesses is "likely" and spray and flooding on roads will "probably" make journey times longer.
Bus and train services will also be affected.
Interruption to power supplies and other services likely
The weather forecast for Leeds this weekend:
Saturday is forecast to be overcast and dull with rain persisting in most places.
It will be a cold day with brisk southeasterly winds.
Heavy rain is forecast to start 5am until 6pm.
From 6pm into Sunday morning there will be light rain.
Sunday will be mostly dry with rain and strong winds arriving overnight.