Mr Moore said the news showed Scotland was set to benefit economically from the Games as firms and suppliers provided goods and services across a range of sectors.
The Scottish Secretary did not reveal the names of the companies, but the Evening Times has previously reported that Barr Construction, whose main office is in Paisley, and Impact Test Equipment, of Stevenston, Ayrshire, were among those awarded work in building the Olympic Park.
Barr helped to build the basketball arena, while Impact provided aggregate for the Aquatics Centre.
Mr Moore announced the £30m contracts total following the first day of a week-long nationwide tour to promote the benefits of the Union to Scotland.
The tour began at Dumbarton-based Aggreko UK Ltd Manufacturing, a power-generator company with contracts for the Olympics.
Mr Moore also visited insurer Aviva and manufacturer Allied Vehicles in Glasgow.
It follows last Friday's launch of the Yes Scotland campaign, which aims to persuade voters to back independence in a referendum planned for autumn 2014.
Critics have previously pointed out Scotland has received only 0.5% of the total Olympics contracts.
English based companies have been able to create hundreds of construction jobs through 98% of the contracts – some £5billion in funds.