CWA Calls for Repeal of H1-B Program
The problems with the H1-B visa program as perceived by the CWA include this list as outlined in a draft of the resolution:

The increase in the number of visas now is higher than any defendable level of shortages of skilled workers;

H1-B visa holders are often paid less than other workers doing similar jobs;

High-tech companies have pushed legislation to raise H1-B limits while they fought legal attempts to support basic labor law in regard to the use of permatemps;

This industry activity has occurred even while more than 200,000 high-tech workers lost their jobs in 2001 and more in 2002 in the United States; and

This industry activity appears to be an attempt to lower local wages, make bigger profits for corporations at the expense of local communities, to break existing unions by using H1-B visa holders during strikes, and to prevent high-tech unions from forming in the first place.

One thing the CWA is staying away from, however, is laying the blame for H1-B abuses on the immigrants who are brought in under its aegis. To that end, the CWA's resolution also calls for "[recommitting] its support to winning justice for immigrant workers."
http://www.eweek.com/article2/0,3959,302342,00.asp