Exhibit 99.1

Press Release                                              For Immediate Release

Company Contact:

Company Contact:
William Swain, GraphOn Corporation
1.800.GRAPHON
Bill.Swain@GraphOn.com

               GraphOn Corp. Announces First Quarter 2006 Results

SANTA  CRUZ,  CA, USA - May  19,  2006 -  GraphOn(R) Corporation  (OTCBB:  GOJO)
(www.graphon.com),   a  leading   developer  of  business  software  for  remote
computing, announces results for the first quarter which ended March 31, 2006.

FINANCIAL HIGHLIGHTS

Revenues were  approximately $1.3 million for the three month period ended March
31, 2006, as compared to approximately  $1.2 million recorded in the same period
of 2005.  The net loss for the three  month  period  ended  March  31,  2006 was
approximately $593 thousand,  as compared to the approximately $318 thousand net
loss for the same  period  of 2005.  The loss per  common  share on a basic  and
diluted  basis for the three  month  period  ended  March 31, 2006 was $0.01 per
share as compared  with a basic and diluted loss of $0.15 per share for the same
period of 2005.  The basic and diluted loss per common share for the three month
period ended March 31, 2005 included a loss of $0.14 per common share, resulting
from the effect of a $4,000,000 non-cash deemed dividend excluded from net loss.

"We are pleased with the  approximate 10% increase in revenues that we were able
to achieve in the first quarter of this year as compared to the first quarter of
2005," Robert Dilworth,  CEO, said. "Expense levels in the first quarter of this
year reflect increased  investment not only in the  administration of our patent
activities,  but in both the  research  and  development  and in the  sales  and
marketing of our GO-Global products.  Additionally, in the first quarter of this
year we recorded $110  thousand in non-cash  stock option  compensation  expense
related to the  adoption  of SFAS  123R" Mr.  Dilworth  concluded,  "We are very
pleased  with the  continued  growth of our core  GraphOn  business,  a trend we
expect to continue throughout 2006.

ABOUT GRAPHON CORPORATION

For over a decade,  GraphOn Corporation has been an innovator of cost-effective,
advanced solutions that help users access applications from anywhere.  GraphOn's
high-performance   software   provides   fast  remote




access,  cross-platform  connectivity,   and  a  centralized  architecture  that
delivers a  dramatically  lower cost of ownership.  The Company's  solutions run
under Microsoft (MSFT) Windows,  Linux, and UNIX,  including Sun (SUNW) Solaris,
IBM AIX,  Hewlett-Packard  (HPQ)  HP-UX,  and more.  GraphOn is located in Santa
Cruz, CA and is traded on the Over the Counter  Bulletin  Board under the ticker
GOJO (OTCBB:GOJO). For more information,  please visit the Company's Web site at
http://www.graphon.com.

This press release contains  statements that are forward looking as that term is
defined by the United States Private  Securities  Litigation Reform Act of 1995.
These statements are based on current expectations that are subject to risks and
uncertainties.  Actual  results  will  differ due to  factors  such as shifts in
customer demand,  product shipment schedules,  product mix, competitive products
and pricing,  technological shifts and other variables.  Readers are referred to
GraphOn's  most recent  periodic and other reports filed with the Securities and
Exchange Commission.

GraphOn and  GO-Global are a registered  trademarks  of GraphOn Corp.  All other
trademarks belong to their respective owners.

                                      # # #


 GRAPHON CORPORATION
 Condensed Consolidated Balance Sheet
                                                                UNAUDITED
                                                                March 31,
                                                                  2006
                                                           --------------------
                                                                 ($000s)

 Cash and cash equivalents                                  $          3,295
 Other current assets                                                    624
                                                           --------------------
 Total current assets                                                  3,919


 Patents, net                                                          4,297
 Other assets                                                            169
                                                           --------------------
 Total assets                                               $          8,385
                                                           ====================


 Current liabilities                                        $            593
 Deferred Revenue - Short Term                                         1,091
 Deferred Revenue - Long Term                                            763
 Shareholders' equity                                                  5,938
                                                           --------------------
 Total liabilities and shareholders' equity                 $          8,385
                                                           ====================


  Condensed Consolidated Statements of Operations



                                                                    

                                                                    UNAUDITED
                                                           Three months ended March 31,
                                                          --------------  --------------
                                                               2006            2005
                                                          --------------  --------------
                                                          ($000s, except per share data)

 Revenue                                                  $       1,306   $       1,181
 Cost of revenue                                                    111             121
                                                          --------------  --------------
 Gross profit                                                     1,195           1,060
                                                          --------------  --------------

 Selling and marketing                                              414             335
 General and administrative                                         990             727
 Research and development                                           394             324
                                                          --------------  --------------
 Total operating expenses                                         1,798           1,386
                                                          --------------  --------------

 Loss from operations                                              (603)           (326)
 Other income, net                                                   10               8
                                                          --------------  --------------
 Loss before income taxes                                          (593)           (318)

 Income taxes                                                       -               -
                                                          --------------  --------------
 Net loss                                                          (593)           (318)
 Deemed dividends on preferred stock                                -            (4,000)
                                                          --------------  --------------
 Loss attributable to common shareholders                 $        (593)  $      (4,318)
                                                          ==============  ==============

 Basic and diluted loss per share                         $       (0.01)  $       (0.15)
                                                          ==============  ==============

 Weighted average shares outstanding                         46,183,849      28,620,913
                                                          ==============  ==============