A method for bonding a contact surface of a first substrate to a contact surface of a second substrate comprising of the steps of: positioning the first substrate on a first receiving surface of a first receiving apparatus and positioning the second substrate on a second receiving surface of a second receiving apparatus; establishing contact of the contact surfaces at a bond initiation site; and bonding the first substrate to the second substrate along a bonding wave which is travelling from the bond initiation site to the side edges of the substrates, wherein the first substrate and/or the second substrate is/are deformed for alignment of the contact surfaces.