The cash boost came as the Central Scotland Green Network (GSGN) was carrying out a consultation on a vision that included creating 50 per cent more woodland by 2030.
The new fund, administered by Forestry Commission Scotland (FCS), will support site investigation work, surveys, planning, design, mapping and data collection.
CSGN chairman Keith Geddes said: "This welcome news will kick-start preparatory work that will lead to a variety of projects that will help transform central Scotland. We will be exploring other sources of finance in the public and private sectors."
The CSGN stretches from Ayrshire, Inverclyde and Dunbartonshire in the west through to Fife and East Lothian in the east. FCS and Scottish Natural Heritage are joint lead partners for the development of the network.
The CSGN was launched last year as part of the Government's spatial strategy for Scotland, following the publication of the second national planning framework, NPF2.
It has set itself 10 goals to achieve by 2030, including ensuring that every home in central Scotland is within 300m of an attractive, safe and well-maintained green space or accessible countryside; delivering a threefold increase in the area of land used for community growing; and creating at least 50 per cent more woodland cover.
Workshops are being held from 25 May to 10 June, while a written consultation closes on 2 July.
- Documents are available online through www.centralscotlandgreennetwork.org.