The devices were addressed to the team boss, a high-profile lawyer and also to a member of the Scottish Parliament.
Strathclyde Police say the packages, sent through the post, were designed to "maim or kill".
They contained a combination of nails and high explosives.
It is believed devices have been sent on at least three separate occasions.
On March 26, a package was posted Mr Lennon.
However, it was intercepted at a sorting office at Kirkintilloch, near Glasgow.
Initially, it was thought to have been a hoax, but further analysis revealed the device was viable.
Two days later, a device was delivered to the office of Labour MSP Trish Godman.
It is understood that the package did reach the office and an employee raised the alarm when nails were seen protruding from it.
Mrs Godman is the outgoing Deputy Presiding Officer in the Scottish Parliament. Read More