Method for connecting two groups of optical fibres provided with a sheath or protection coating and connector for effecting this method. The unstripped optical fibres of each group are located in longitudinal grooves in a support piece of a respective connector, with the ends of the fibres extending beyond the end of each support piece; the optical fibres are retained in the grooves in each support piece; the ends of the fibres extending beyond each support piece are stripped; the optical fibres are slided in said grooves into a position where parts of the stripped ends occupy respective parts of the grooves; the unstripped and stripped portions of the optical fibres are locked in this position; the end plane of each support-fibre assembly is polished and the two connectors are joined together.