Simon Cowell and girlfriend Lauren Silverman have reportedly rented a house in New York's expensive getaway location of the Hamptons for the summer.

The pair, who are parents to three month old baby son Eric, have rented a house in Bridgehampton for the season.

Simon and his family are also apparently looking to purchase an apartment in New York, after Simon rented a $26,500-a-month Upper East Side apartment in the city last year.

It's thought that Lauren and Simon, who is in the running to be Celebrity Dad of the Year, want to be closer to where her other son, seven-year-old Adam, lives with his father Andrew Silverman.

Simon had been looking to buy property in Miami last year but because Lauren wants to be close to Adam's school.

Meanwhile BGT judge Amanda Holden predicts Simon will tie the knot with his partner Lauren Silverman and insists the pair will have more children.

Amanda said it was only a matter of time before the couple got married.

She told Hello! magazine: 'He's met his match in Lauren, 100 per cent.'

Asked if she thought they would marry, she said: 'I do. And I think they'll have more children too, because he loves it. Simon definitely should ask Lauren to marry him. He shouldn't let her get away. Lauren's such a good influence on him.'