A blue/green tinge to your water can indicate elevated levels of copper in your water. This can be more common where there is relatively new copper plumbing in use on your property, in both new houses and older houses where new plumbing has been installed. This is because the new copper pipes are settling in, and after a few days a protective layer should form on the inside of the pipe, which will stop this.
However it can also occur with old and corroded pipes, or where too much flux has been used to install the pipe or it may indicate that there is a problem with the electrical earth bonding. You should contact your house builder or a professionally qualified plumber for help.