A method for welding ocular tissues to each other including providing a first portion of ocular tissue having a leading edge and a second portion of ocular tissue having a leading edge, positioning the leading edge of the first portion of ocular tissue directly adjacent to and against the leading edge of the second portion of ocular tissue, and applying pulses of a laser light from a source thereof substantially simultaneously to the leading edge of the first portion of ocular tissue and to the leading edge of the second portion of ocular tissue, the pulses of the laser light penetrating the portions of ocular tissue to a depth of approximately 1-300 microns so that the leading edge of the first portion of ocular tissue may be securely welded to the leading edge of the second portion of ocular tissue, the laser light having a wavelength of approximately 10.6 microns and a power output level sufficient to maintain the portions of ocular tissue at a temperature of approximately 45-60 degrees Celsius during the applying of the laser light.