The Met Office has issued yellow weather warnings as it predicts gusts of 65 to 70mph in exposed areas, such as the Pennines and along the coast, with wind speeds of 50mph likely more widely.
Downpours are also expected to make driving conditions difficult and public transport may be affected.
The warnings cover from Wednesday morning to the early hours of Thursday.
A spokesman for the Met Office said: " Heavy rain is expected across parts of northwest Wales, northern England and southern Scotland on Wednesday before clearing overnight. Spray and flooding on roads will make journey times longer. Bus and train services will also be affected with journey times taking longer. A few homes and businesses could also be flooded. Strong winds are also expected which could add to the difficult travel conditions."