A linear LED lamp having a body with a length between spaced first and second ends. The linear LED lamp has an elongate heat sink and a light source comprising LED emitters and a first end cap assembly at the first end of the body. The first end cap assembly has conductive power and ground pins and a support connector has conductive power and ground terminals for connecting with an external power supply and providing a grounding path for components of the lamp. The power and ground pins of the first end cap assembly are configured to engage the power and ground terminals of the support connector as an incident of the first end cap assembly moving relative to the support connector in a path that is transverse to the length of the body into an engaged position. A sleeve connector is also provided for mounting a non-power end of a linear LED lamp to a light fixture.