We terminate fiber optic cable two ways – with connectors that can mate two fibers to create a temporary joint and/or connect the fiber to a piece of network gear or with splices which create a permanent joint between the two fibers.
According to Which field-termination method best fits your fiber-optic LAN? article over the past couple decades, as technologies in fiber-optic termination have advanced, it has become easier to install a connector. Several proven technologies are used to terminate an optical fiber in the field. The most common termination methods are no-epoxy/no-polish, epoxy-and-polish, and pigtail splicing.
Fiber Optic Termination Tutorial tells that manufacturers have come up with over 80 styles of connectors and and about a dozen ways to install them. Different connectors and splice termination procedures are used for single-mode and multi-mode connectors.
Here are some videos on fiber optic termination and splicing:
DIY FiberOptics Kit we page shows how to design, make and share cheap kit for splicing fiberoptics (using reprap and commonly available items). Check also DIY: How to do a fiber optic mechanical splicing: steps and tips and DIY/Solved! How to Cut/Cleave Optical Fibers Without A Cleaving Tool